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How would you solve this?

How would you solve this?-example-1
User Ryantuck
by
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1 Answer

6 votes

Answer:

average rate of change =
(1)/(2)

Explanation:

the average rate of change of h(x) in the interval a ≤ x ≤ b , is


(h(b)-h(a))/(b-a)

here the interval is - 2 ≤ x ≤ 2 , then

h(b) = f(2) =
(1)/(8) (2)³ - 2² =
(1)/(8) (8) - 4 = 1 - 4 = - 3

h(a) = h(- 2) =
(1)/(8) (- 2)³ - (- 2)² =
(1)/(8) (- 8) - 4 = - 1 - 4 = - 5

then average rate of change

=
(-3-(-5))/(2-(-2))

=
(-3+5)/(2+2)

=
(2)/(4)

=
(1)/(2)

User Hoaxz
by
8.8k points

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