Question

Using the graph below, calculate the average rate of change for f(x) from

x = 0 to x =2

1) -4

2) -2

3) 2

4) 4

Answer 1

4

Explanation:

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

Where,

a = 0,

f(a) = f(0) = -2 (from the graph given)

b = 2,

f(b) = f(2) = 5 (from the graph)

Plug in the values

Average rate of change =
`(5 - (-2))/(2 - 0)`

`= (7)/(2)`

= 3.5 ≈ 4 (approximated)