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trasher [3.6K]
3 years ago
12

Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8

Mathematics
1 answer:
Levart [38]3 years ago
4 0

Answer:

- 6

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 ] = [ - 7, - 1 ]

f(b) = f(- 1) = (- 1)² + 2(- 1) - 8 = 1 - 2 - 8 = - 9

f(a) = f(- 7) = (- 7)² + 2(- 7) - 8 = 49 - 14 - 8 = 27

Hence

average rate of change = \frac{-9-27}{-1-(-7)} = \frac{-36}{6} = - 6

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