graph the following function on the axes provided.
f(x)=\begin{cases}3x + 6& ext{for}&-4

Question

graph the following function on the axes provided.
f(x)=\begin{cases}3x + 6& 	ext{for}&-4 < x < -1\-2x + 2& 	ext{for}&-1 < x < 3end{cases}
click and drag to make a line. click the line to delete it. click on an endpoint of a line to change it.

Accepted Answer

# Explanation:
## Step1: Find endpoints for first - part
For $y = 3x + 6$ with $-4<x<-1$. When $x=-4$, $y = 3\times(-4)+6=-12 + 6=-6$ (not included as $x=-4$ is not in the domain). When $x=-1$, $y=3\times(-1)+6=3$ (not included as $x = - 1$ is not in the domain).
## Step2: Find endpoints for second - part
For $y=-2x + 2$ with $-1<x<3$. When $x=-1$, $y=-2\times(-1)+2=4$ (not included as $x=-1$ is not in the domain). When $x = 3$, $y=-2\times3+2=-4$ (not included as $x = 3$ is not in the domain).
## Step3: Plot the lines
Plot the line $y = 3x+6$ for $x\in(-4,-1)$ and the line $y=-2x + 2$ for $x\in(-1,3)$ on the given coordinate axes. Use open - circles at the non - included endpoints.

# Answer:
The graph consists of a line $y = 3x+6$ for $x\in(-4,-1)$ and a line $y=-2x + 2$ for $x\in(-1,3)$ with open - circles at the endpoints of each line segment.

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QUESTION IMAGE

Question

Explanation:

Step1: Find endpoints for first - part

Step2: Find endpoints for second - part

Step3: Plot the lines

Answer: