Question

10) If f(x) = 7 – 4x and the domain is {-2,0, 3/4}, find the range.

Answer 1

For this case we have the following function given:

`f(x)=7-4x`

We also know that the domain is given by:

`D=\left\lbrace -2,0,(3)/(4)\right\rbrace`

and in order to find the range we need to use the domain given:

`f(-2)=7-4(-2)=7+8=15`
`f(0)=7-(4\cdot0)=7`
`f((3)/(4))=7-4\cdot(3)/(4)=7-3=4`

So then the range for this case would be given by:

`R=\left\lbrace 15,7,4\right\rbrace`