Question

Sketch a graph of the function. Given the piecewise definition f(x) ={- 2x - 4 if x < - 2 f (x)= {x+3 if x>-2 Domain: Range:

Answer 1

Explanation:

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

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:

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