Question

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

ƒ(x) = -3x + 7

Answer 1

Domain = All real numbers.

Range = All real numbers.

Explanation:

We have been given the function
`f(x)=-3x+7`

Let us plot the graph of this linear function by finding the intercepts.

For x-intercept, plug f(x)=y=0

`0=-3x+7\\3x=7\\x=(7)/(3)\\\\x=2.33`

For y-intercept, plug x=0

`y=-3(0)+7\\y=7`

Hence, we have two points (0,7) and (2.33,0). Joining these two points we can draw the graph of the linear function. Graph is in the attached figure.

This is linear function and hence can take any real values of x and y.

Therefore, we have

Domain = All real numbers.

Range = All real numbers.