how to find range of a function

As we saw in the previous example, sometimes we can find the range of a function by just looking at its graph. Start by finding the vertex. Find the range of function f defined by f(x) = - sin (x) Solution to Example 1. For a more conceptual approach to domain and range, you can check this tutorial. For example, find the range of f(x) = x^2 + 1/x^2. How to find the Range of a function There are many method to find the range of a function A.Range of the function may be find using below algorithm. Learning how to find the range of a function can prove to be very important in Algebra and Calculus, because it gives you the capability to assess what values are reached by a function. In order to do this, try substituting in different x-values into the function to see what happens to y. Not at all, so then, there is no restrictions on \(y\) and the conclusion is that the range is the whole real line. The range of a function is the spread of possible y-values (minimum y-value to maximum y-value) 2. By using our site, you agree to our. To create this article, 23 people, some anonymous, worked to edit and improve it over time. The range of a function [latex]f\left(x\right)[/latex] is the domain of the inverse function [latex]{f}^{-1}\left(x\right)[/latex]. References. For more difficult cases, it may be easier to draw the graph first using the domain (if possible) and then determine the range graphically. How do I find the range of an odd power at specific coordinates? The GM of (x^2, 1/x^2) is 1, and the since the AM is more than that, f(x) is always at least 2, and the range of f is [2, infinity). Finding the Range of a Function Given a Formula, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/1\/10\/Find-the-Range-of-a-Function-in-Math-Step-1-Version-2.jpg\/v4-460px-Find-the-Range-of-a-Function-in-Math-Step-1-Version-2.jpg","bigUrl":"\/images\/thumb\/1\/10\/Find-the-Range-of-a-Function-in-Math-Step-1-Version-2.jpg\/aid1627315-v4-728px-Find-the-Range-of-a-Function-in-Math-Step-1-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"