# Math Questions 16.2 - Injective, Surjective and Bijective Functions. Graphs of Functions

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16.2Injective, Surjective and Bijective Functions. Graphs of Functions

## Injective, Surjective and Bijective Functions. Graphs of Functions Revision Questions

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

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

2. . Which of the following functions is injective?

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

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

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

4. . Which of the following functions is bijective?

1. f(x) = x2 - 2x + 1
2. f(x) = 1 - x2
3. f(x) = 3x + 4
4. f(x) = x4

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?

1. f(x) = 3x - 5
2. f(x) = 5 - 3x
3. f(x) = 5x + 3
4. f(x) = 5x - 3

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

1. It shows an injective function
2. It shows a surjective function
3. It shows a bijective function
4. It does not represent a function

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

1. y=√(2x-5)
2. y2=2x
3. y=2x2
4. y=1/x2

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

1. 3x2 + y = 4
2. 2√x + 3x + y = 0
3. 5x + y2 = 6
4. 5x + 5y = 1

9. . What is the range of the function f(x)=√(54-6x2 )

1. R = (-∞, +∞)
2. R = [-3, 3]
3. R = [0, 3]
4. R = [0, 54]

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

1. x2 + y2 = 9
2. x2 + √y = 1
3. x + y2 = 4
4. x2 - y2 = 5

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