Functions Quiz - CBSE Class 11 Mathematics

Free practice quiz: Functions (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 Functions, 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. Which of the following is a function?

   1. y = 2x + 3
   2. x^2 + y^2 = 1
   3. x = y^2
   4. (x-2)(x+3) = 0
   Show answer

   Answer: A. y = 2x + 3

   A function is a relation where every input (x-value) has exactly one output (y-value). The equation y = 2x + 3 is a linear function, which is an example of such a relation.

2. If f(x) = 3x + 2, find f^-1(x).

   1. x/3 - 2
   2. (x - 2)/3
   3. 3x - 2
   4. x + 2/3
   Show answer

   Answer: B. (x - 2)/3

   To find the inverse function f^-1(x), we solve the equation y = 3x + 2 for x in terms of y: x = (y - 2)/3. Thus, f^-1(x) = (x - 2)/3.

3. Given f(x) = x^2 - 4, find f(3).

   1. 9
   2. 5
   3. -5
   4. 0
   Show answer

   Answer: B. 5

   To find f(3), substitute x with 3 in the function: f(3) = 3^2 - 4 = 9 - 4 = 5.

4. What are f(x) = |x| characteristics?

   1. Injective only
   2. Continuous but not differentiable at x = 0
   3. Differentiable everywhere
   4. Periodic
   Show answer

   Answer: B. Continuous but not differentiable at x = 0

   The absolute function f(x) = |x| is continuous everywhere but not differentiable at x = 0 because of a sharp point.

5. Determine the range of f(x) = x^2 for all real x.

   1. [-∞, ∞]
   2. [0, ∞)
   3. (-∞, 0]
   4. (0, ∞)
   Show answer

   Answer: B. [0, ∞)

   The range of f(x) = x^2 is [0, ∞) because squaring any real x gives a value that is non-negative.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Determine the domain of the function f(x) = 1/x.
2. For the function f(x) = x^2, what is the range if the domain is taken as x ≥ 0?
3. Is the vertical line test used to determine if a graph represents a function?
4. What is the horizontal line test used for in functions?
5. Which function is not a one-to-one function?
6. If g(x) = 2x - 1 and h(x) = x^2, find (g ∘ h)(2).
7. Which is a graphical representation of a piecewise function?
8. The function f(x) = x/(x-1) is undefined at x equals...
9. If h(x) = 5x - 3 is a bijective function, determine the inverse function.
10. For a function to have an inverse that is also a function, it must be...
11. Is f(x) = sin(x) a bijective function on the interval [0, π]?
12. If f(x) = ln(x), find the domain of this function.
13. The range of tan(x) for x ∈ (-π/2, π/2) is...

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