Question

I still don’t understand can someone give a helping hand?

Answer 1

Answer:

A

Step-by-step explanation:

A, B, C, and D, are all functions. the " { " is saying that those functions can are different at different points. For A the function is $A= -x-2$ when $x< 2$ and then $A=x+4$ when $x\geq -2$. At the point $x=-2$ you can see that the function on the graph is going in two different directions but it stops at $x=-2$.

Based on the graph you can see that the line on the left has a slope of -1 and if it kept going it would cross the y-axis at $y=-2$, therefore the equation for the first line is $y =-x-2$ when $x<-2$

The second line on the right side has a slope of 1 and crosses the y-axis at $y=4$ so the equation for that line is $y=x+4$ when $x\geq -2$.

The only answer that matches these requirements is A