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:

$D=\left\lbrace -2,0,\frac{3}{4}\right\rbrace$

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(\frac{3}{4})=7-4\cdot\frac{3}{4}=7-3=4$

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

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