Graphs Quiz - CBSE Class 11 Mathematics

Free practice quiz: Graphs (CBSE Class 11 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 11 Mathematics practice quiz has 18 multiple-choice questions on Graphs, and 18 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. What is the range of the sine function?

   1. [-1, 1]
   2. [0, π]
   3. [0, 2π]
   4. [-π/2, π/2]
   Show answer

   Answer: A. [-1, 1]

   The sine function maps any angle to a value between -1 and 1.

2. What is the vertical shift of the function y = cos(x) + 2?

   1. 2 units up
   2. 2 units down
   3. No shift
   4. 1 unit up
   Show answer

   Answer: A. 2 units up

   The '+ 2' at the end of the function indicates a vertical shift of 2 units upwards.

3. At what points does cos(x) achieve its maximum value?

   1. x = 0 + 2nπ
   2. x = π + 2nπ
   3. x = π/2 + 2nπ
   4. x = 2π/3 + 2nπ
   Show answer

   Answer: A. x = 0 + 2nπ

   Cosine reaches its maximum value of 1 at angles where x = 0 + 2nπ, where n is an integer.

4. What is the equation of the horizontal line that is the midline for y = 4sin(x) + 2?

   1. y = 6
   2. y = -2
   3. y = 0
   4. y = 2
   Show answer

   Answer: D. y = 2

   The equation y = 4sin(x) + 2 has a midline equation y = 2, being 2 units above the x-axis.

5. What is the horizontal stretch factor for y = sin(1/2x)?

   1. 2
   2. 1/2
   3. 1
   4. 3
   Show answer

   Answer: A. 2

   The horizontal stretch factor given by sin(kx) implies stretching by a factor of 1/k. Here k = 1/2, so stretch is by 2.

More questions in this quiz

Answers and explanations are in the full quiz.

1. What is the period of the cosine function?
2. What is the amplitude of the function y = 3sin(x)?
3. Where does the graph of y = tan(x) have its asymptotes?
4. What is the frequency of the function y = sin(2x)?
5. Which function is an odd function?
6. At what point does the graph of y = sin(x) intersect the x-axis?
7. For the equation y = sec(x), what points does it have vertical asymptotes?
8. What is the phase shift of the function y = cos(x - π/4)?
9. What values of x a symmetrical point about origin exists for the function y = tan(x)?
10. What is the transformation of y = cos(x) to y = -cos(x)?
11. In which interval is the function y = sin(x) strictly increasing?
12. Find the phase shift and period of y = tan(x - π/4).
13. How does y = 1 + sin(x) differ graphically from y = sin(x)?

More quizzes

• Definitions▶ Play

Browse all Trigonometric Functions quizzes

More to play