Question

Question 2 (2 points)

(08.06)
Using the graph below, calculate the average rate of change for f(x) from x = 0 to x=2.

a: x=-4
b: x=-2
c: x= 2
d: x= 4

Answer 1

Option (D)

Explanation:

Formula to get the average rate of change of the function f(x) between two points x = a and b is,

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

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

From the graph attached,

f(0) = -2

f(2) = 6

Therefore, average rate of change =
`(6-(-2))/(2-0)`

=
`(8)/(2)`

= 4

Option (D) will be the correct option.