Question

What is the average rate of change for this quadratic function for the interval from x =3 to x = 5

Answer 1

Answer:

A

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 [ = [ 3, 5 ]

From the table

f(b) = f(5) = - 26

f(a) = f(3) = - 10

Hence average rate of change

= $\frac{-26-(-10)}{5-3}$ = $\frac{-16}{2}$ = - 8 → A