Question

What is the range of the function y= 4x + 3 for the domain 3 < x < 8?

Answer 1

The function is:

$y=4x+3$

To find the range in the domain 3 < x 8 we can replace the values of the extrems to sind it so:

for x = 3

$\begin{gathered} y=4(3)+3 \\ y=15 \end{gathered}$

for x= 8

$\begin{gathered} y=4(8)+3 \\ y=35 \end{gathered}$

So the only range between this numbers is:

$16\le x\le25$