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Fantom [35]
3 years ago
10

Given the function

-2x-5" align="absmiddle" class="latex-formula"> , determine the average rate of change of the function over the interval -5\leq x\leq 6
PLEASE HELP ASAPP
Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

- 1

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 ] = [ - 5, 6 ] , then

f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19

f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30

Then

average rate of change = \frac{19-30}{6-(-5)} = \frac{-11}{6+5} = \frac{-11}{11} = - 1

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