Question

graph the following function on the axes provided.
$f(x)=\

$$\begin{cases}3x + 6&\\text{for}&-4 < x < -1\\\\-2x + 2&\\text{for}&-1 < x < 3\\end{cases}$$

$
click and drag to make a line. click the line to delete it.
click on an endpoint of a line to change it.

Explanation:

Step1: Find endpoints for $3x+6$

First, calculate $f(x)$ at $x=-4$:
$f(-4)=3(-4)+6=-12+6=-6$
Then calculate $f(x)$ at $x=-1$:
$f(-1)=3(-1)+6=-3+6=3$
This segment is for $-4

Step2: Find endpoints for $-2x+2$

First, calculate $f(x)$ at $x=-1$:
$f(-1)=-2(-1)+2=2+2=4$
Then calculate $f(x)$ at $x=3$:
$f(3)=-2(3)+2=-6+2=-4$
This segment is for $-1

Answer:

1. For the piece $f(x)=3x+6$ ($-4
2. For the piece $f(x)=-2x+2$ ($-1