Question

Find the average rate of change of the parabola below over the interval [1,3]

Answer 1

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here (a, b ] = [ 1, 3 ], thus

f(b) = f(3) = 5 ← from graph

f(a) = f(1) = - 3 ← from graph

average rate of change = $\frac{5-(-3)}{3-1}$ = $\frac{8}{2}$ = 4 → D