Question

Given the following linear function sketch the graph of the function and find the domain and range.

ƒ(x) = -3x + 7

Answer 1

see the procedure

Explanation:

we have

`f(x)=-3x+7`

This is the equation of a line in slope intercept form

where

`m=-3` ----> the slope

`b=7` ----> the y-coordinate of y-intercept

To graph the line find out the intercepts

The y-intercept is the point (0,7) ----> given value

The x-intercept is the point (2.33,0) ---> Remember that the x-intercept is the value of x when the value of the function is equal to zero

with the points (0,7) and (2.33,0) sketch the graph

using a graphing tool

Plot the points and join to graph the line

see the attached figure

The domain is all real numbers

The range is all real numbers