graph the following function on the axes provided. $f(x)=\begin{cases}-x - 2& ext{for }-5

Question

graph the following function on the axes provided. $f(x)=\begin{cases}-x - 2&	ext{for }-5 < x < -1\-3&	ext{for }-1 < x < 2end{cases}$. 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: Analyze first - part of piece - wise function
For $y = -x - 2$ when $-5<x<-1$. Find endpoints: when $x=-5$, $y = -(-5)-2 = 3$ (open - circle as not included); when $x = - 1$, $y=-(-1)-2=-1$ (open - circle).
## Step2: Analyze second - part of piece - wise function
For $y = 3$ when $-1<x<2$. Endpoints are $y = 3$ at $x=-1$ (open - circle) and $x = 2$ (open - circle).
# Answer:
Graph a line $y=-x - 2$ for $-5<x<-1$ (open - circles at endpoints) and a horizontal line $y = 3$ for $-1<x<2$ (open - circles at endpoints).

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QUESTION IMAGE

Question

Explanation:

Step1: Analyze first - part of piece - wise function

Step2: Analyze second - part of piece - wise function

Answer: