Exercises for Question Type 2: Finding where a polynomial is increasing or decreasing up to cubics

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Exercises for Question Type 2: Finding where a polynomial is increasing or decreasing up to cubics - IB

Question 1

Determine where the cubic function f (x) = 4 x^{3} - 12 x is increasing and decreasing.

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Question 2

Find the intervals on which the function f (x) = x^{2} - 4 is increasing and decreasing.

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Question 3

Determine the intervals where the function f (x) = x^{3} - 3 x + 1 is increasing and where it is decreasing.

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Question 4

Find where f (x) = x^{3} - 3 x is increasing and decreasing.

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Question 5

Find the intervals of increase and decrease for f (x) = x^{3} - 3 x^{2} - 9 x + 5 .

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Question 6

Find the intervals where f (x) = x^{3} - 6 x^{2} + 9 x is increasing and where it is decreasing.

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Question 7

Determine where f (x) = 3 x^{2} + 6 x + 2 is increasing and decreasing.

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Question 8

Find the intervals of increase and decrease for f (x) = x^{3} - 2 x^{2} - x + 2 .

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Question 9

Determine where f (x) = - x^{3} + 6 x^{2} - 9 x + 2 is increasing and decreasing.

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Question 10

This question requires finding the intervals of increase and decrease for a cubic polynomial function using its first derivative.

Find the intervals of increase and decrease for the function f (x) = x^{3} .

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Question 11

Calculus - Derivatives

Determine the intervals where f (x) = 2 x^{3} + 3 x^{2} - 12 x is increasing and where it is decreasing.

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Question 12

Calculus: Intervals of increase and decrease for a polynomial function.

Determine the intervals of increase and decrease for the function f (x) = x^{3} - 3 x^{2} .

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Question 13

Find the intervals of increase and decrease for f (x) = - 2 x^{3} + 3 x .

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IB Mathematics Applications & Interpretation Question Type 2: Finding Where a Polynomial Is Increasing or Decreasing Up to Cubics Exercises