Author Question: Determine where the given function is increasing and where it is decreasing.f(x) = 2x3- 15x2+ 24x (Read 79 times)

dejastew · **on:** Jun 16, 2021

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)

bookworm410 · **Reply #1 on:** Jun 16, 2021

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