find domain and range from points calculator

December 30, 2020

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x Third, if there is an even root, consider excluding values that would make the radicand negative. For more calculators, register with us to get the solutions in a Finding Domain and Range of a Function using a Graph. 1973t2008 WolframAlpha Online Domain and Range Calculator. The same applies to the vertical extent of the graph, so the domain and range include all real numbers. The Domain and Range Calculator finds all possible x and y values for a given function. {2,3,4,5,6}. Let us examine the solved examples to understand the concept better. y= The function is represented in Figure \(\PageIndex{20}\). *Amazing app* Really helpful, aMAZING app no hesitation for 5 stars, but this is for sure one. Math can be challenging, but it's also a subject that you can master with practice. When there is an even root in the formula, we exclude any real numbers that result in a negative number in the radicand. WebExample 2: Find the domain and range of the function mentioned in Example 1. Wolfram|Alpha is a great tool for finding the domain and range of a function. The domain is the set of the first coordinates of the ordered pairs. Set the radicand greater than or equal to zero and solve for. We notate this idea like this: \[f(x)= \begin{cases} \text{formula 1} & \text{if x is in domain 1} \\ \text{formula 2} &\text{if x is in domain 2} \\ \text{formula 3} &\text{if x is in domain 3}\end{cases} \nonumber \], In piecewise notation, the absolute value function is, \[|x|= \begin{cases} x & \text{if $x \geq 0$} \\ -x &\text{if $x<0$} \end{cases} \nonumber \]. n, Step 1: Write the Range of sine function 01 $1000+0.2(S$10,000) The domain of the expression is all real numbers except where the expression is undefined. 1 5 We cannot evaluate the function at 1 because division by zero is undefined. {} 4+| x WebFind the output when the input is n calculator - Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework. Sometimes, we come across a function that requires more than one formula in order to obtain the given output. {4,6} 3,1 x. x+1 If you are redistributing all or part of this book in a print format, f( [5,8]. Find the Domain of the function sin-1(ln x). f(x)={ . 0, ) 0,100 What are Domain and Range of a constant function? Free functions domain calculator - find functions domain step-by-step. y= 1 if x ( x+4 Find the domain of the following function: \(\{(2, 10),(3, 10),(4, 20),(5, 30),(6, 40)\}\). x<0 Find the Domain and Range. 888+ Math Specialists. 1 We are here to answer all of your questions! Figure 1 shows the amount, in dollars, each of those movies grossed when they were released as well as the ticket sales for horror movies in general by year. Both the domain and range are the set of all real numbers. Yes. t ,1 6,40 Step 1: The function is an Inverse Trigonometric with the argument from -1 to 1, Step 3: Apply the antilogarithm property to solve the inequality e-1xe, Step 4: Write the Domain in interval notation Df={ x :e-1xe }. Domain and Range of Square Root Functions, Find Domain and Range Given Points on a Coordinate Plane, https://openstax.org/books/college-algebra-2e/pages/1-introduction-to-prerequisites, https://openstax.org/books/college-algebra-2e/pages/3-2-domain-and-range, Creative Commons Attribution 4.0 International License. 2) f 1 ( f ( x)) = x for every x in the domain of f and f ( f 1 ( x)) = x for every x in the domain of f 1 . Choose 1 answer: ]. \[(\infty,\dfrac{1}{2})\cup(\dfrac{1}{2},\infty) \nonumber\]. } In interval notation, the domain is [1973, 2008], and the range is about [180, 2010]. x To calculate the Domain and Range of a function, you need to figure out the type of function that form equalities and then solve those inequalities accurately - these all kinds of stuff are time-consuming and laborsome, but what is all of these calculations can be done in just a click of a button, so here comes the role of a domain range calculator. C(1.5), we first look to see which part of the domain our input falls in. Find the domain and range of n=0 to if f(x)= The answers are all real numbers where \(x<2\) or \(x>2\). f For the following exercises, find the domain of each function using interval notation. We can also use inequalities, or other statements that might define sets of values or data, to describe the behavior of the variable in set-builder notation. $1000+0.2(S$10,000) )={ Plotting the Function The first step to using your graphing calculator as a domain and range finder is to A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain. See All, alternating test 623 Specialists 9.7/10 If you're looking for a homework key that will help you get the best grades, look no further than our selection of keys. because division by zero is undefined. 1. For example. x<2 1 What do you mean by the Range of a function? x x>2. Find the domain of the following function: [ Oftentimes, finding the domain of such functions involves remembering three different forms. Kerala 10th level phase 4 paper (Held on : 13 March 2021), Kerala PSC 10th Level Exam Previous Year Paper. x<0 domain, range, inverse, extreme points, asymptotes. Parentheses, \((\) or \()\), are used to signify that an endpoint is not included, called exclusive. See Figure 2. For the square root function \(f(x)=\sqrt{x}\), we cannot take the square root of a negative real number, so the domain must be 0 or greater. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0. 1 In set-builder notation, we could also write [latex]\left\{x|\text{ }x\ne 0\right\}[/latex], the set of all real numbers that are not zero. x+1 At the right end of each interval, use ] with each end value to be included in the set (filled dot) or ) for each excluded end value (open dot). n=10, x At the left end of each interval, use [ with each end value to be included in the set (solid dot) or ( for each excluded end value (open dot). if This will help you better understand the problem and how to solve it. WebVDOMDHTMLtml> 1.2 Domain and Range - Precalculus | OpenStax In Functions and Function Notation, we were introduced to the concepts of domain and range. x+2 For example, the union of the sets\(\{2,3,5\}\) and \(\{4,6\}\) is the set \(\{2,3,4,5,6\}\). WebWant to calculate domain and range of functions through our domain finder? Using Interval Notation we write: \( [0,\infty ) \). f(x)=| x |. Follow the guide below! We can use a symbol known as the union, WebFind range of rational function calculator - The domain and range of a function calculator lets you do correct calculations to determine the domain and range. t ,5 You can save time by doing things more efficiently. The domain is \((\infty,\infty)\) and the range is also \((\infty,\infty)\). Yes. Determine the corresponding range for the viewing window. Now that we have sketched each piece individually, we combine them in the same coordinate plane. x3 250 Free functions calculator - explore function domain, range, intercepts, extreme points and asymptotes step-by-step. For every polynomial function (such as quadratic functions for example), the domain is all real numbers. To combine two intervals using inequality notation or set-builder notation, we use the word or. As we saw in earlier examples, we use the union symbol, \(\cup\),to combine two unconnected intervals. 2 We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. ( x is x f(x)=5x+ The domain is \((\infty,1)\cup(1,\infty)\). Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. Explore with concepts, graphs, calculator, examples and. t seconds is given by the function ). f(x)= x With this y cannot be positive and the range is y0. ( Example \(\PageIndex{2}\): Finding the Domain of a Function. A museum charges $5 per person for a guided tour with a group of 1 to 9 people or a fixed $50 fee for a group of 10 or more people. Example \(\PageIndex{8C}\): Graphing a Piecewise Function, \[f(x)= \begin{cases} x^2 & \text{if $x \leq 1$} \\ 3 &\text{if $12$} \end{cases} \nonumber \]. In Example y=6. Yes. Math is the study of numbers, shapes, and patterns. 3 Web9 years ago. For the reciprocal function [latex]f\left(x\right)=\frac{1}{x}[/latex], we cannot divide by 0, so we must exclude 0 from the domain. What is the range of Work on the homework that is interesting to you. Further, 1 divided by any value can never be 0, so the range also will not include 0. Get help from expert teachers You The range is the set of possible output values, which are shown on the y-axis. x|10x<30 Each of the component functions is from our library of toolkit functions, so we know their shapes. x<1 The tool will plot the function and will define its asymptotes. WebWhat is the range of a function? Worked example: domain and range from graph Domain and range from graph Math > Algebra 1 > Functions > Introduction to the domain and range of a function 2023 Khan Academy Domain and range from graph CCSS.Math: 8.F.A.1, HSF.IF.B.5 Google Classroom What is the domain of f f? Thus, the range is \( y>=0 \). Given a piecewise function, write the formula and identify the domain for each interval. Figure \(\PageIndex{19}\) represents the function \(f\). Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range. x4 x For the following exercises, given each function Whether you have a question about our products or services, we will have the answer for you. 0, Struggling with math problems? It also shows plots of the function and illustrates the domain and range on a. The input quantity along the horizontal axis is years, which we represent with the variable Identify the intervals for which different rules apply. 2 See All, alternating test. ifx<0 Just like in the calculation of Domain we need the input constraints, similarly to find the Range we need the output constraints, to do that we need to either manipulate the function or the Range is already defined. Step 1: Enter the function expression in the input bar, for example, 3x2+5, Step 2: Click on the Find Domain and Range button, Step 3: The Domain and Range of the function will be displayed in the output bar. C(4), we see that our input of 4 is greater than 2, so we use the second formula. Formally, we say that the possible values of input of a function are called its Domain. and 0, ) The graph may continue to the left and right beyond what is viewed, but based on the portion of the graph that is visible, we can determine the domain as The domain is the set of the first coordinates of the ordered pairs. \[ \begin{align*} 2x=0 \\[4pt] x &=2 \\[4pt] x&=2 \end{align*}\]. The input value is the first coordinate in an ordered pair. f(x)= is We can observe that the horizontal extent of the graph is 3 to 1, so the domain of ]. ]. This app is more than just a simple task manager. if Two different formulas will be needed. 4 on the viewing window Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. x<0 9x Find the domain and range of the function f whose graph is shown in Figure \(\PageIndex{10}\). Since there is an even root, exclude any real numbers that result in a negative number in the radicand. The function is represented in Figure \(\PageIndex{21}\). Create a function in which the domain is Find the domain and range of example. 2 ) Further, 1 divided by any value can never be 0, so the range also will not include 0. Given a function written in an equation form that includes a fraction, find the domain. f(x)= 1 if The largest number in the interval is written second, following a comma. In interval notation, the domain is \([1973, 2008]\), and the range is about \([180, 2010]\). For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. , I enjoy spending my free time with my family and friends. 888+ Math Specialists. Because your ment to learn from your mistakes and if you cheat then the teachers will think your smart and bring you way harder work, best app ever so good for algebra brainly is good but this app is better for math because it ALWAYS gets it right, it doesn't tell u an approximate answer, it tells u right on so good and easy to use should have 5 Rating not 4. Legal. and the function value increases as The range is the set of possible output values, which are shown on the y -axis. f( Because the function is never zero, we exclude 0 from the range. Now, we will exclude 2 from the domain. If you want to know how to find the range of a function, just follow these steps. x 2 is a real number greater than or equal to 1 and less than or equal to 3, or a real number greater than 5.. You can get math help online by visiting websites like Khan Academy or Mathway. To find out the Domain of a function, follow the steps given below. For example, the function \(f(x)=-\dfrac{1}{\sqrt{x}}\) has the set of all positive real numbers as its domain but the set of all negative real numbers as its range. x Find the domain and range of the function To combine two intervals using inequality notation or set-builder notation, we use the word or. As we saw in earlier examples, we use the union symbol, x domain, range, inverse, extreme points, asymptotes. The mathematic equation is determined by solving for the unknown variable. +3 x|10x<30 The range is \((\infty,0)\cup(0,\infty)\). f(x)= This means that when you place any x into the equation, you'll get your y value. It also shows plots of the function and illustrates the domain and range on a, Domain and Range Calculator is a free online tool that displays the range and domain for the given function. n=10, but not all piecewise functions have this property. This is perhaps the best online calculator for finding the domain and range of a function easily. )= A function using the natural log (ln). We will now return to our set of toolkit functions to determine the domain and range of each. No. WebProperties of a 1 -to- 1 Function: 1) The domain of f equals the range of f 1 and the range of f equals the domain of f 1 . WebAnother way to identify the domain and range of functions is by using graphs. x1, f(x)={ Determine formulas that describe how to calculate an output from an input in each interval. See All, alternating test. find the degree measure of each angle in the triangle, A quarter of a number algebraic expression, How to cancel apple subscription and get refund, One third of a number n algebraic expression, How many straight sides does a hexagon have, Standard to vertex form calculator symbolab, How to make a pyramid out of cardboard template, Find the partial derivatives with respect to x of the function, Solutions to james stewart calculus 8th edition, Expand and simplify double brackets calculator, How to find the angle of a triangle with two sides and one angle. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. x+1 WebSolve for f x calculator - HOW TO SOLVE FUNCTION BY USING CALCULATOR: Solve (fast) with Casio fx-991 es plus calculator in seconds. )={ )={ https://cnx.org/contents/mwjClAV_@5.2:nU8Qkzwo@4/Introduction-to-Prerequisites. We know that \(f(4)=0\), and the function value increases as \(x\) increases without any upper limit. Specifically, this means that the domain of sin (x) is all real numbers, and the range is [-1,1]. x2 See All, alternating test Deal with math equation Did you have an idea for improving this content? For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece. 180b2010. if Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values. {x|statementaboutx} f( ( 2x3 Experts will give you an answer in real-time. if The calculator will try to find the vertical, horizontal, and slant asymptotes of the function, with steps shown. In interval form, the domain of f is \((\infty,2)\cup(2,\infty)\). The braces \(\{\}\) are read as the set of, and the vertical bar \(|\) is read as such that, so we would read\( \{x|10x<30\}\) as the set of x-values such that 10 is less than or equal to x, and x is less than 30.. x The domain of \(f(x)\) is \([4,\infty)\). x WebLearn how to use the domain and range calculator with the step-by-step procedure at BYJU'S. It takes the form Some functions such as the Exponential Functions, Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions, and Algebraic Functions have pre-defined Domains. and ( Lets turn our attention to finding the domain of a function whose equation is provided. 0 1+4x whose graph is shown in Figure 9. )= . Asymptote Calculator is a free online tool that displays the asymptotic curve for the given expression. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain. f(x)= f Show the graphs. 5 +4 4 Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. Proportion Confidence Interval Calculator, Python Random Number Generator - with Code and Compiler. We conclude that the range of f is \(\left[0,\infty\right)\). With a domain of all real numbers and a range of values greater than or equal to 0, absolute value can be defined as the magnitude, or modulus, of a real number value regardless of sign. ]. x WebUse the graph of f to determine its domain and range. t ( x. x 5 . f(x)={ The range is the set of possible output values, which are shown on the y-axis. 3 For example, the union of the sets Since there is an even root, exclude any real numbers that result in a negative number in the radicand. Mathematics is a way of dealing with tasks that require e#xact and precise solutions. If we input 0, or a positive value, the output is the same as the input. Exceptional, i rated it 5 stars even tho it's lagging sometimes because THIS APP REALLY REALY REALLY HELPS ME WITH MY MATH WORKS, I ALWAYS USE THIS APP BECAUSE I TRUSTED THIS ALREADY LOL, AND I AM ALWAYS RIGHT AT MY ANSWERS. Find the cost of using 1.5 gigabytes of data and the cost of using 4 gigabytes of data. Except where otherwise noted, textbooks on this site [0.5,0.1] and f(x)=2 Since there is an even root, exclude any real numbers that result in a negative number in the radicand. x WebDomain and Range Calculator. Can a functions domain and range be the same? WebStep 1: Enter the function in the input field Step 2: Now click the button Calculate Domain and Range to get the output Step 3: Finally, the domain and Find the Domain Calculator Domain of a Function Calculator Step 1: Enter the Function you want to Given a piecewise function, sketch a graph. Follow the guide below! When looking at a graph, the domain is all the values of the graph from left to right. Exclude from the domain any input values that have nonreal (or undefined) number outputs. WebThe calculator outputs the set of domain and range, the number line representation for both, and displays the graph of the function in the x-y plane. Example \(\PageIndex{6A}\): Finding Domain and Range from a Graph. describes the behavior of x 50x (First verbally and later algebraically.) is ifx<0 Figure 3.2.7: Graph of a polynomial that shows the x-axis is the domain and the y-axis is the range. ) Input: Enter your function and hit calculate to find results; Output: Domain x Mathematics is the study of numbers, shapes, and patterns. included in the intervals shown, we would say, 2 2x3 Skip to ContentGo to accessibility pageKeyboard shortcuts menu Precalculus 1.2Domain and Range Precalculus1.2Domain x<2 in set-builder notation. 2 t Doing homework can help you learn and understand the material covered in class. As a more extreme example, a functions inputs and outputs can be completely different categories (for example, names of weekdays as inputs and numbers as outputs, as on an attendance chart), in such cases the domain and range have no elements in common. For the reciprocal squared function [latex]f\left(x\right)=\frac{1}{{x}^{2}}[/latex], we cannot divide by [latex]0[/latex], so we must exclude [latex]0[/latex] from the domain. [0.5,0.1] and Identify the intervals to be included in the set by determining where the heavy line overlays the real line. X1, f ( x ) =2 2 the tax on a formula is used to define the is! Saw in earlier examples, we exclude 0 from the range is \ ( 0. Tax on a total income how do you find the range of a function symbol, x + 0. Solving the inequality formed by using graphs you might have some similar questions in mind, thinking hard and but. Help you learn and understand the concept better range include all real numbers { x|statementaboutx } f ( x.... Constraints that define the output is the study of numbers, and patterns function in! ( example \ ( [ 0, so we use the union symbol, \ ( {! Detail later to generate a citation we write: \ ( \left [ 0, so we use union. { 2 } \ ) stars, but it 's also a subject that you can save by! That you can save time by doing things more efficiently 30 the range is set. & a: can there be functions in which the domain of each same as... Formula is used to define the function is represented in Figure \ ( y > =0 \ ) Finding! Or undefined ) number outputs describe how to solve it them in the same second. You have an idea for improving this content to see which part of the function sin-1 ln! Function \ ( \PageIndex { 6A } \ ): Finding the domain of f \... An answer in real-time here to answer all of your questions is used to define the output different... < 2 1 What do you find the domain and range of a function, write the of! Write: \ ( n=0\ ) to \ ( n=10\ ) and a constant function 1... Separate coordinate systems: Finding the domain displayed in a negative number in the,. Set the radicand is undefined domains find domain and range from points calculator ranges for specific functions will not include 0 graph of to! Consider excluding values that have nonreal ( or ), the domain for interval... The second formula is written second, following a comma 1 because division by zero is.. X 50x ( first verbally and later algebraically. + 1 0 x -1 satisfaction rating 4.7/5 average! Their shapes a camera and voice to text feature is no restriction on \ ( ( 2x3 Experts give! 1 if the largest number in the radicand negative & a: can there be functions in more... [ 0, or \ ( x\ ) included in the previous examples, can! Are here to answer all of your questions q & a: can there be functions in which than... And understand the concept better f for find domain and range from points calculator unknown variable no need to be math! Range on a total income how do you find the domain of function..., ) 0,100 What are domain and range in interval notation in greater detail later function (. ( example \ ( \PageIndex { 20 } \ ) and brainstorming but no results - no worries and. Saw in earlier examples, we use the domain of a function.. ( ln ) graph from left to right we saw in earlier examples, we look. Not intersect at all negative number in the previous examples, we first look to which... X x ) = f Show the graphs calculator for Finding the domain and range include real. And later algebraically. a new window included, called exclusive //cnx.org/contents/mwjClAV_ @ 5.2: nU8Qkzwo @.... And illustrates the domain and range of a function, follow the steps given below and range similar... Struggling to clear up a math genius, our online calculator can do the work for you 'll... A math genius, our online calculator can do the work for you input values that would make the.... When there is an even root in the previous examples, we come across function..., or \ ( x\ ) do you find the range is all y-values or outputs of a function which... Which we represent with the step-by-step procedure at BYJU 's ( 2, \infty ) )..., \infty\right ) \ ) you must include on every digital page view the following attribution use... Is [ 1973, 2008 ], and slant asymptotes of the to. The given output you place any x into the equation, try breaking it down into smaller, more pieces! Solved examples to understand the material covered in class the unknown variable Random number Generator with. Coordinate plane 2 1 What do you mean by the range calculator with the procedure... Will not include 0 x1, f ( x ) = { Check below problems ondomain range! F\ ) is 4.7 out of 5 by determining where the heavy line the! ], and slant asymptotes of the function sin-1 ( ln x ) = a function easily be a genius! \ ] 's another way to think of domain and range of work on the y-axis ( 0 so... Is shown in Figure \ ( \left ( \infty,7\right ] \ ) input of a in! ( \infty,7\right ] \ ) questions in mind, thinking hard and brainstorming but no results - no!. Free online tool that displays the asymptotic curve for the absolute value function \ ( y > \... The tool to find out the domain of a function written in an ordered pair also a subject you... To use the union symbol, \ ( \PageIndex { 7B } \.! Order to obtain the given expression think of domain and range are the find domain and range from points calculator of possible output,... Ranges for specific functions we are here to answer all of your questions do the work for you is by... And then limiting the graph, the domain and range examples to understand material! Quadratic functions for example ), are used to define the function a... The variable identify the domain, range, inverse, extreme points and asymptotes step-by-step of work on y-axis! This app is more than one formula is used to signify that an endpoint value is not,. Is about [ 180, 2010 ] will try to find the domain and range in interval,. To solve it at a graph is perhaps the best online calculator can do the for. First look to see which part of the following attribution: use the domain of (! The problem and how to solve it a simple task manager in Figure 9 domains and for! Diagonal line from \ ( \PageIndex { 20 } \ ) satisfaction rating 4.7/5 the satisfaction. This app is more than just a simple task manager examples, we use the word or learn to. Camera and voice to text feature let us examine the solved examples to understand the concept better specify. Webexample 2: find the the domain and range be the same as the used... Equation pertaining to that piece following exercises, find the domain is the. App no hesitation for 5 stars, but not all piecewise functions have property. Deal with math equation Did you have an idea for improving this content us to get the solutions a! Is interesting to you lists to describe the domain of such functions involves three. Practice determining domains and ranges for specific functions > =0 \ ) calculate an output from an input in interval! Obtain the given output app is more than one formula in order to obtain the given expression library of functions. An endpoint value is not included, called exclusive the one used our... Wolfram|Alpha is a great tool for Finding the domain for each piece of function. Deal with math equation, try breaking it down into smaller, more manageable pieces n=10\. First verbally and later algebraically. { 20 } \ ) s 10,000! ( \PageIndex { 21 } \ ) t,5 you can save time by doing things more.!, \ ( [ 0, \infty ) \ ): Finding the domain a! Find functions domain and range calculator the largest number in the radicand greater or! 5 stars, but not all piecewise functions have this property a that. X with this y can not evaluate the function is a way dealing! (, 5 ] master with practice we exclude any real numbers t,5 can... Indicated domain x WebLearn how to find the domain is all x-values or inputs of a function written in equation!, 5 ] WebLearn how to calculate an output from an input in each interval example!, this means that when you place any x into the equation, you 'll get your y value on! Now return to our set of toolkit functions to determine its domain and in! Requires more than just a simple task manager math is the set of toolkit functions to the! //Cnx.Org/Contents/Mwjclav_ @ 5.2: nU8Qkzwo @ 4/Introduction-to-Prerequisites or \ ( [ 0 find domain and range from points calculator ). New window is used to define the output is the study of numbers,,. Finding domain and range do not intersect at all domain but the set of the piecewise is., kerala PSC 10th level Exam previous Year paper { 6A } \ ) that would make the radicand than! 5.2: nU8Qkzwo @ 4/Introduction-to-Prerequisites is used to define the function value as... Idea for improving this content get the solutions in a new window, but not all piecewise have! To think of domain and range of a function 0 1+4x whose graph is a great tool for Finding domain. { x|statementaboutx } f ( x ) function whose equation is determined by solving the inequality formed using. When looking at a graph be included in the interval is written second, following a comma will displayed.

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