10. graph the following function on the axes provided. $f(x)=\begin{cases}-6& ext{for }- 5leq x

Question

10. graph the following function on the axes provided. $f(x)=\begin{cases}-6& 	ext{for }- 5leq x<1\x - 3& 	ext{for }1<xleq5end{cases}$

Accepted Answer

# Explanation:
## Step1: Graph first - part of function
For $-5\leq x < 1$, $f(x)=-6$. This is a horizontal line at $y = - 6$ from $x=-5$ (closed - circle since $x=-5$ is included) to $x = 1$ (open - circle since $x = 1$ is not included).
## Step2: Graph second - part of function
For $1<x\leq5$, $f(x)=x - 3$. When $x = 1$, $y=1 - 3=-2$ (open - circle as $x = 1$ is not in this domain). When $x = 5$, $y=5 - 3 = 2$ (closed - circle as $x = 5$ is included). Plot the line $y=x - 3$ for $1<x\leq5$.

# Answer:
The graph consists of a horizontal line $y=-6$ for $-5\leq x<1$ and a line $y = x - 3$ for $1<x\leq5$ with appropriate open and closed circles at the endpoints of the intervals.

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QUESTION IMAGE

Question

Explanation:

Step1: Graph first - part of function

Step2: Graph second - part of function

Answer: