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Chapter 4: Q52. (page 181)

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

52. x=-5y+2

Short Answer

Expert verified

Graph of given equation is

Domain is 鈩� and range is 鈩�

Given equation is a function.

Step by step solution

01

- Plot given equation

First find x-intercept by substituting 0 for y

x=鈭�50+2x=2

x-interceptis 2,0

Now find y-interceptby substituting 0 for x

0=鈭�5y+25y=2y=0.4

y-interceptis 0,0.4

Using these two points plot the line of given equation as shown below

y-intercept

02

- Find the domain and range

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

As both x and y are defined for all real number so domain is 鈩� and range is 鈩�

03

- To determine given equation is function or not

Since, for every x only one value exist, so given equation is a function.

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