Question

Please can you help me. Thanks.

Answer 1

Answer:

1

Step-by-step explanation:

The average rate of change is measured as

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

here [ a, b ] = [ - 5, 5 ]

f(b) = f(5) = - 5² + 5 + 3 = - 25 + 8 = - 17

f(a) = f(- 5) = -(- 5)² - 5 + 3 = - 25 - 2 = - 27

Hence

average rate of change = $\frac{-17-(-27)}{5-(-5)}$ = $\frac{10}{10}$ = 1