Question

Help me find the range of this function please

Answer 1

{-2, -14, -26, -50}

Explanation:

The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:

- For x = -8

`f(x)=-2x-18`

`f(-8)=-2(-8)-18`

`f(-8)=16-18`

`f(-8)=-2`

The first value of the range of the function is -2

- For x = -2

`f(x)=-2x-18`

`f(-2)=-2(-2)-18`

`f(-2)=4-18`

`f(-2)=-14`

The second value of the range is -14

- For x = 4

`f(x)=-2x-18`

`f(4)=-2(4)-18`

`f(4)=-8-18`

`f(4)=-26`

Th third values of the range is -26

- For x = 16

`f(x)=-2x-18`

`f(16)=-2(16)-18`

`f(16)=-32-18`

`f(16)=-50`

The fourth and last value of the range is -50

Now we can put all the values of the range together

The range of the function is {-2, -14, -26, -50}