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Hugh W · Answer 1 · 2023-12-15T15:27:03+0000

Step-by-step explanation:

$f(x)=\begin{cases}-2x-4\text{ if x<-2} \\ x+3\text{ if x > -2}\end{cases}$

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:

$\begin{gathered} (-\infty,\infty) \\ \text{ or also} \\ -\infty• Range[tex]\begin{gathered} \lbrack0,\infty) \\ \text{ or also} \\ 0\le y<\infty \end{gathered}$

Sketch a graph of the function. Given the piecewise definition f(x) ={- 2x - 4 if-example-1

Sketch a graph of the function. Given the piecewise definition f(x) ={- 2x - 4 if-example-2

Sketch a graph of the function. Given the piecewise definition f(x) ={- 2x - 4 if-example-3

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