Math Questions 16.7 - Even and Odd Functions

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Even and Odd Functions Revision Questions

1. . Which of the following functions is even?

1. f(x) = 3x + 3
2. f(x) = x² + 1
3. f(x) = x³ - 4x
4. f(x) = x² + 2x + 1

Reveal AnswerCorrect Answer: B

2. . The function f(x) = 3xa + bx + c is even. Which of the following values may be those of a, b and c?

1. a = 1, b = 2 and c = 0
2. a = 2, b = 1 and c = 0
3. a = 4, b = 0 and c = 1
4. a = 4, b = 2 and c = 2

Reveal AnswerCorrect Answer: C

3. . The function f(x) = ax² + 4 and g(x) = bx³ + 2x are given. Which of the following is true about the product and quotient of f ◦ g(x) and g ◦ f(x)?

1. f ◦ g(x) = even; g ◦ f(x) = even
2. f ◦ g(x) = even; g ◦ f(x) = odd
3. f ◦ g(x) = odd; g ◦ f(x) = even
4. Not sure whether even or odd because a and b are unknown

Reveal AnswerCorrect Answer: A

4. . Two functions f(x) = 2x² + 3x - 1 and g(x) = x² + bx + 2 are given. What is the value of b so that f(x) + g(x) is an even function?

1. 3
2. 0
3. -3
4. 1

Reveal AnswerCorrect Answer: C

5. . Two functions f(x) = 2x and g(x) = x² + 2 is given. What can you say about f(x) · g(x)?

1. It is an even function
2. it is an odd function
3. It is neither even, nor odd
4. It cannot be determined whether f(x) · g(x) is even or odd

Reveal AnswerCorrect Answer: C

6. . Which of the functions shown in the graph below is even?

Reveal AnswerCorrect Answer: D

7. . Which of the following functions is odd?

1. f(x) = 2x³ - 1
2. f(x) = 3x² + 1
3. f(x) = x³ - 5x
4. f(x) = x5 - 2x³ + x - 2

Reveal AnswerCorrect Answer: C

8. . The function f(x) = 3xm + 4xn + p is odd. Which of the following may be the values of m, n and p?

1. m = 5, n = 3 and p = 1
2. m = 3, n = 3 and p = 0
3. m = 3, n = 1 and p = 0
4. m = 5, n = 1 and p = 1

Reveal AnswerCorrect Answer: C

9. . The function f(x) = 2x + m is odd and g(x) = 4x² + nx + 1 is even. What is n - m?

1. 0
2. 1
3. 2
4. 3

Reveal AnswerCorrect Answer: A

10. . The functions f(x) = ax4 and g(x) = bx are given. What type of function is f(x) / g(x)?

1. Odd
2. Even
3. Neither odd nor even
4. It cannot determined as the values of a and b are unknown

Reveal AnswerCorrect Answer: A

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