Periodic Function -Multiple Choice Questions Quiz

Interactive MCQs on “Periodic Function”:

Solve the following 10 questions. Only one option is correct. Click on the “Submit” button when done. Click on the “embed” button to use this quiz on your website. Click on “WhatsApp” to share this 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