Question

Use the graph below for this question:

graph of parabola going through negative 2, 1 and 0, 1.

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

1
0
−2
2

Answer 1

The average rate of change from x= -2 to x=0 is 0 (second option)

Explanation:

Point A=(-2, 1)=(a, f(a))→a=-2, f(a)=1

Point B=(0, 1)=(b, f(b))→b=0, 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) / (0-(-2))

r=(0) / (0+2)

r=(0) / (2)

r=0