Question

Use the graph below for this question:

graph of parabola going through 0, 3 and 2, negative 5.


What is the average rate of change from x = 0 to x = 2?

− 4
− 8
1
5
Can you please help me?

Answer 1

The average rate of change is equivalent to the slope of the graph between the two points.
slope = change in y / change in x
dy/dx = (-5 - 3) / (2 - 0)
dy/dx = -4

The average rate of change from x = 0 to x = 2 is -4.