Question

What is the average rate of change of the function f(x)=2x+4 over the interval -4 ≤ x ≤ 1? Table

Answer 1

Answer:

2

Step-by-step explanation:

the rate of change is measured as

$\frac{f(b) - f(a)}{b-a}$ in the closed interval [ a, b ]

here [a, b ] = [- 4, 1 ]

f(b) = f(1) = 2 + 4 = 6

f(a) = f(- 4) = - 8 + 4 = - 4

average rate of change = $\frac{6-(-4)}{1-(-4)}$ = $\frac{10}{5}$ = 2