Question

graph this function.
f(x)=\begin{cases}-2x - 5&\text{if }xleq - 1\\2x&\text{if }x > - 1end{cases}
select points on the graph to plot them. select \point fill\ to change a point from closed to open.

Explanation:

Step1: Find points for $x\leq - 1$

Let $x=-1$, then $f(-1)=-2\times(-1)-5=-3$. Let $x = - 2$, then $f(-2)=-2\times(-2)-5=-1$.

Step2: Find points for $x > - 1$

Let $x=0$, then $f(0)=2\times0 = 0$. Let $x = 1$, then $f(1)=2\times1=2$.

Answer:

Plot points $(-2,-1),(-1,-3)$ (closed - circle for $x\leq - 1$), $(0,0),(1,2)$ (open - circle for $x=-1$ in the $x > - 1$ part).