Exercises for Question Type 1: Verifying whether some simple functions are odd or even or neither - IB | RevisionDojo

Question Type 1: Verifying whether some simple functions are odd or even or neither Exercises

Question 1

Determine whether the function $f(x) = x^4 - x^2$ is odd, even, or neither. Justify your answer.

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Question 2

Determine whether the function $f(x) = \cos(x)\sin(x)$ is odd, even, or neither. Justify your answer.

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Question 3

Determine whether the function $f(x) = \sin(x) + \cos(x)$ is odd, even, or neither. Justify your answer.

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Question 4

Determine whether the function $f(x) = x^3 + x$ is odd, even, or neither. Justify your answer.

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Question 5

Determine whether the function $f(x) = e^x + e^{-x}$ is odd, even, or neither. Justify your answer.

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Question 6

Determine whether the function $f(x) = x^2 - x^4 - \cos(x)\sin(x)$ is odd, even, or neither. Justify your answer.

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Question 7

Determine whether the function $f(x) = x^3$ is odd, even, or neither. Justify your answer.

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Question 8

Determine whether the function $f(x) = x^2 \sin(x)$ is odd, even, or neither. Justify your answer.

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Question 9

Determine whether the function $f(x) = x^5 + x^2$ is odd, even, or neither. Justify your answer.

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Question 10

Determine whether the function $f(x) = \tan(x)$ is odd, even, or neither. Justify your answer.

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Question 11

Determine whether the function $f(x) = \displaystyle\frac{x^2 - 1}{x}$ is odd, even, or neither. Justify your answer.

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Question 12

Determine whether the function $f(x) = \displaystyle\frac{x}{1 + x^2}$ is odd, even, or neither. Justify your answer.

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