Question

Given f(x)= -3/4x-6 and its domain: (-8, 0, 4) what is the range of the function?

Answer 1

The range of function is { 0, -6, -9}

Solution:

Given that the function is:

`f(x) = (-3)/(4)x - 6`

Also given its domain is (-8, 0, 4)

To find: Range of the function

Domain of the function is possible input of the function that is "x" and range of the function is possible output of the function that is f(x)

As there are only three input values for "x" that are (-8, 0, 4) we can determine the range by calculating value of f(x) for each of the x

For x = 8:

`f(-8)=(-3)/(4) *(-8)-6=6-6=0`

`f(-8)=0`

For x = 0:

`\begin{array}{l}{f(0)=(-3)/(4) *(0)-6=-6} \\\\ {f(0)=-6}\end{array}`

For x = 4:

`\begin{array}{l}{f(4)=(-3)/(4) *(4)-6=-3-6=-9} \\\\ {f(4)=-9}\end{array}`

Thus the range of function is { 0, -6, -9}