Periodic Function -Multiple Choice Questions Quiz

Question 1: What is a periodic function?

(a) A function that is continuous on its domain
(b) A function that has a finite number of distinct values
(c) A function that repeats its values at regular intervals
(d) A function that is differentiable at all points

Question 2: Which of the following functions is periodic?

(a) f(x) = x^2
(b) g(x) = sin(x)
(c) h(x) = e^x
(d) k(x) = 1/x

Question 3: What is the period of the function f(x) = 3cos(4x)?

(a) π/2
(b) 2π
(c) 4π
(d) 8π

Question 4: Which of the following is not a periodic function?

(a) f(x) = 2x
(b) g(x) = tan(x)
(c) h(x) = sin(3x)
(d) k(x) = 4cos(2x)

Question 5: If a function f(x) is periodic with a period of T, what is the value of f(x + T/2)?

(a) f(x)
(b) -f(x)
(c) 2f(x)
(d) 0

Question 6: Which of the following functions is an example of a non-periodic function?

(a) f(x) = cos(x)
(b) g(x) = x^3
(c) h(x) = sin(πx)
(d) k(x) = e^x

Question 7: What is the range of values for the sine function, sin(x)?

(a) [-1, 1]
(b) [0, 1]
(c) (-∞, ∞)
(d) [1, ∞)

Question 8: If a function f(x) is periodic with a period of T and another function g(x) is periodic with a period of 2T, what can be said about the period of the function f(x) + g(x)?

(a) The period is T
(b) The period is 2T
(c) The period is 3T
(d) The period is 4T

Question 9: What is the period of the function f(x) = cos^2(x) - sin^2(x)?

(a) π
(b) 2π
(c) π/2
(d) 3π

Question 10: Which of the following is an example of an odd periodic function?

(a) f(x) = x^2
(b) g(x) = sin(x)
(c) h(x) = cos(x)
(d) k(x) = e^x

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Total score: /10

Answer key:

Question 1: c

Question 2: b

Question 3: c

Question 4: a

Question 5: b

Question 6: d

Question 7: a

Question 8: b

Question 9: c

Question 10: b