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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions |
---|---|---|---|---|---|

16.2 | Injective, Surjective and Bijective Functions. Graphs of Functions |

* 1. .* What is the domain of the function f(x) = 6 - 3√x?

- [3, +∞)
- [0, +∞)
- [2, +∞)
- (-∞, 0]

**Correct Answer: B**

* 2. .* Which of the following functions is injective?

- f(x) = 3x - 2; X = {2, 4, 6, 8}; Y = {4, 10, 16, 22, 30}
- f(x) = 3x - 2; X = {2, 4, 6, 8}; Y = {10, 16, 22}
- f(x) = 3x - 2; X = {2, 4, 6, 8}; Y = {4, 10, 16, 24}
- f(x) = 3x - 2; X = {2, 4, 6, 8}; Y = {6, 12, 18, 24}

**Correct Answer: B**

* 3. .* What is the codomain of the function shown in the figure?

- {a, b, c, d}
- {a, c, d}
- {1, 2, 3, 4}
- {2, 3, 4}

**Correct Answer: C**

* 4. .* Which of the following functions is bijective?

- f(x) = x
^{2}- 2x + 1 - f(x) = 1 - x
^{2} - f(x) = 3x + 4
- f(x) = x4

**Correct Answer: C**

* 5. .* Each of the output values of a bijective function is obtained by subtracting 5 from the triple of the corresponding input value. What is the formula of this function?

- f(x) = 3x - 5
- f(x) = 5 - 3x
- f(x) = 5x + 3
- f(x) = 5x - 3

**Correct Answer: A**

* 6. .* What can you say about line L shown in the figure below?

- It shows an injective function
- It shows a surjective function
- It shows a bijective function
- It does not represent a function

**Correct Answer: D**

* 7. .* In which of the following mathematical sentences the vertical line test produces two intercepts with the graph?

- y=√(2x-5)
- y
^{2}=2x - y=2x
^{2} - y=1/x
^{2}

**Correct Answer: B**

* 8. .* Which of the following mathematical sentences is NOT a function?

- 3x
^{2}+ y = 4 - 2√x + 3x + y = 0
- 5x + y
^{2}= 6 - 5x + 5y = 1

**Correct Answer: C**

* 9. .* What is the range of the function f(x)=√(54-6x

- R = (-∞, +∞)
- R = [-3, 3]
- R = [0, 3]
- R = [0, 54]

**Correct Answer: D**

* 10. .* The horizontal line test is useful in which of the following lines?

- x
^{2}+ y^{2}= 9 - x
^{2}+ √y = 1 - x + y
^{2}= 4 - x
^{2}- y^{2}= 5

**Correct Answer: B**

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