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 when
and then
when
. At the point
you can see that the function on the graph is going in two different directions but it stops at
.
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 , therefore the equation for the first line is
when
The second line on the right side has a slope of 1 and crosses the y-axis at so the equation for that line is
when
.
The only answer that matches these requirements is A