Question

What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?

A. 4
B. 2
C. -4
D. -2

Answer 1

Option B

Explanation:

Average rate of change of a function between x = a and x = b will be,

Average rate of change =
`(f(b)-f(a))/(b-a)`

We have to calculate average rate of change of the given quadratic function between x = 0 and x = 2.

From the given graph,

f(2) = 6

f(0) = 10

Therefore, average rate of change =
`(f(2)-f(0))/(2-0)`

=
`(10-6)/(2-0)`

= 2

Option B will be the answer.