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Author Question: Determine where the given function is increasing and where it is decreasing.f(x) = 2x3- 15x2+ 24x (Read 83 times)

dejastew

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Question 1

Determine where the given function is increasing and where it is decreasing. 

f(x) = -x3 + 3x2 - 10
◦ Decreasing on (-∞, -1) and (1, ∞), increasing on (-1, 1)
◦ Increasing on (-∞, 0) and (2, ∞), decreasing on (0, 2)
◦ Decreasing on (-∞, 0) and (2, ∞), increasing on (0, 2)
◦ Decreasing on (-∞, 2), increasing on (2, ∞)

Question 2

Determine where the given function is increasing and where it is decreasing. 

f(x) = 2x3 - 15x2 + 24x
◦ Increasing on (-∞, 1) and (4, ∞), decreasing on (1, 4)
◦ Decreasing on (-∞, 1) and (4, ∞), increasing on (1, 4)
◦ Increasing on (-∞, 1), decreasing on (1, ∞)
◦ Decreasing on (-∞, 0) and (4, ∞), increasing on (0, 4)


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Marked as best answer by dejastew on Jun 16, 2021

bookworm410

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dejastew

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Reply 2 on: Jun 16, 2021
Great answer, keep it coming :)


kusterl

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

 

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