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

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

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

Question 1

Determine where the cubic function $f(x) = 4x^3 - 12x$ 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 $f(x) = x^3 - 3x + 1$ is increasing and where it is decreasing.

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Question 4

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

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Question 5

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

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Question 6

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

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Question 7

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

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Question 8

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

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Question 9

Determine where $f(x) = -x^3 + 6x^2 - 9x + 2$ 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 $f(x) = 2x^3 + 3x^2 - 12x$ 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 $f(x) = x^3 - 3x^2$ .

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Question 13

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

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