Question

Find the average rate of change for f(x) = x2 + 7x + 10 from x = 0 to x = 2. A) 5 B) 7 C) 9 D) 11

Answer 1

f(x) = x² + 7x + 10

f(0) = (0)² + 7(0) + 10  = 10  ----> (0, 10)

f(2) = (2)² + 7(2) + 10 = 28  -----> (2, 28)

rate of change is slope: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ = $\frac{28-10}{2-0} = \frac{18}{2}$ = 9

Answer: 9