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

Question

asked Aug 17, 2023 103k views

1 Answer

Wynemo · Answer 1 · 2023-08-21T07:52:43+0000

For this case we have the following function given:

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:

$f(0)=7-(4\cdot0)=7$
$f((3)/(4))=7-4\cdot(3)/(4)=7-3=4$

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

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