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.

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]
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   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
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   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
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   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
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   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
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   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.

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