Question

Use the graph below for this question:

graph of parabola going through negative 3, negative 1 and 5, negative 1.

What is the average rate of change from x = −3 to x = 5?

−1
0
1
8

Answer 1

The average rate of change from x= -3 to x=5 is 0 (second option)

Explanation:

Point A=(-3, -1)=(a, f(a))→a=-3, f(a)=-1

Point B=(5, -1)=(b, f(b))→b=5, f(b)=-1

Average rate of change from x=a to x=b:

r=(f(b)-f(a)) / (b-a)

Replacing the given values:

r=(-1-(-1)) / (5-(-3))

r=(-1+1) / (5+3)

r=(0) / (8)

r=0