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Chapter 4: Q53. (page 181)

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

x=y2

Short Answer

Expert verified

Graph of given equation is

Domain is 0,鈭� and range is 鈩�

Given equation is not afunction

Step by step solution

01

- Plot given equation

Using graphing calculator plot the equation as shown below

02

- 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 0,鈭�

As y is defined for all real number so range is 鈩�

03

- 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.

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