Answer:
1
Step-by-step explanation:
The average rate of change is measured as
[tex]\frac{f(b)-f(a)}{b-a}[/tex] 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 = [tex]\frac{-17-(-27)}{5-(-5)}[/tex] = [tex]\frac{10}{10}[/tex] = 1
