Q53. - Algebra 2

Question

Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function.

$x=y^2$

Step-by-Step Solution

Answer

Graph of given equation is 

Domain is $\left[0,\infty \right)$ and range is $\mathrm{ℝ}$

Given equation is not afunction

Step 1 - Plot given equation

Using graphing calculator plot the equation as shown below

Step 2 - Find the domain and range

Domain is the set of pre-images x and range is set of images y

As equation is defined for non-negative values of x, so its domain is positive real number that is $\left[0,\infty \right)$

As y is defined for all real number so range is $\mathrm{ℝ}$

Step 3 - To determine given equation is function or not

Since, for some x more than one value of y exist, so given equation is not a function.