Explanation:
[tex]f(x)=\begin{cases}-2x-4\text{ if x<-2} \\ x+3\text{ if x > -2}\end{cases}[/tex]
The line of the first part of the function, without the restriction of x <=-2:
The line of the second part of the function, without the restriction is:
To graph the full function, we have to draw a line over the green dashed line until x = -2 and then continue drawing but now over the orange dashed line
Answer:
The graph of the function is:
• Domain:
[tex]\begin{gathered} (-\infty,\infty) \\ \text{ or also} \\ -\infty• Range[tex]\begin{gathered} \lbrack0,\infty) \\ \text{ or also} \\ 0\le y<\infty \end{gathered}[/tex]
