The option that correlates with the above is option D (The last diagram)
Step-by-step explanation:
The function:
x -3 if -5 ≤ x < 0
when x = -5
the function = x -3 = -5 -3 = -8
when x = 0
the function = x -3 = 0 -3 = -3
For 0 < x < 4, the function = -3
For 4< x ≤ 8
Function = -x + 1
when x = 4
Function = -4 + 1 = -3
when x = 8
Function = -8 + 1 = -7
We check the options that correlates with the values of the function we got and the x values given:
For the first function, on the y axis, it is from -8 to -3. And the x axis is from -5 to 0
The 2nd function, on the y axis, it is -3. And on the x axis it is -3
The third function, on the y axis, it is from 4 t0 7. And the x axis is from 4 to 8
The option that correlates with the above is option D (The last diagram)
There no arrows on this graph.