Question

Calculate the average rate of change of the quadratic function y = -x2 + 4x +2

Answer 1

Answer:

2

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 ] = [ 0, 2 ], thus

f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6

f(a) = f(0) = 2

average rate of change = $\frac{6-2}{2-0}$ = $\frac{4}{2}$ = 2