Math Questions 16.3 - Basic Functions

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The following math revision questions are provided in support of the math tutorial on Basic Functions. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic and calculators which provide full, step by step calculations for each of the formula in the Basic Functions tutorials. The Basic Functions calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Basic Functions Revision Questions

1. . Which of the following statements is TRUE for the following linear function:

1. The gradient is -5 and x-intercept is at 5/2
2. The gradient is 2 and x-intercept is 5
3. The gradient is -5 and x-intercept is 2/5
4. The gradient is -5 and x-intercept is 2

Reveal AnswerCorrect Answer: C

2. . What is the range of the function

if the domain is D = [-3, 1]?

1. R = [-12, -3]
2. R = [-∞, 1]
3. R = [-12, 1]
4. R = [1, 17]

Reveal AnswerCorrect Answer: D

3. . What is the gradient of the quadratic function

at x = -1?

1. -9
2. -3
3. -1
4. 1

Reveal AnswerCorrect Answer: A

4. . What is the maximum of the function

1. y = 2
2. y = 7
3. y = 11
4. y = 15

Reveal AnswerCorrect Answer: B

5. . What is the equation of the tangent line with the function

at x = 3?

1. y = 3x - 1
2. y = 10x + 2
3. y = 9x - 17
4. y = 27x - 10

Reveal AnswerCorrect Answer: C

6. . What is the local minimum of the function

1. (-1, 2)
2. (1, -2)
3. (0, -4)/li>
4. (-2/3, 3/5)

Reveal AnswerCorrect Answer: B

7. . How many horizontal tangents with the graph of the function

can you draw?

1. 0
2. 1
3. 2
4. 3

Reveal AnswerCorrect Answer: C

8. . The graph below belongs to the function

What is the equation of the tangent at the point A?

1. y = 2x - 3
2. y = 7x - 23
3. y = 3x - 2
4. y = -7x + 23

Reveal AnswerCorrect Answer: D

9. . What is the y-intercept of the function

1. (1, -1)
2. (0, <1)
3. (0, -1)
4. (0, 0)

Reveal AnswerCorrect Answer: C

10. . The gradient of the exponential function

at the point x = 1 is m = 3 · ln 3 / 2. What is the value of a?

1. 1/2
2. 1
3. 2
4. 3

Reveal AnswerCorrect Answer: A

11. . What is the x-intercept of the exponential function

1. (1, 0)
2. (0, 0)
3. (0, 1)
4. (1, 1)

Reveal AnswerCorrect Answer: B

12. . What is the equation of tangent line with the logarithmic equation

at x = 4? Take ln 2 = 0.7.

1. y = 2x
2. y = 28x/5 - 3
3. y = 2x - 3
4. y = 2x + 1/5

Reveal AnswerCorrect Answer: D

13. . What is the x-intercept of the function

1. (10, 0)
2. (√10, 0)
3. (1, 0)
4. (0, 0)

14. . What is the function shown in the graph below?

1. f(x) = |x - 1|
2. f(x) = |2x - 1|
3. f(x) = |2x - 1|
4. f(x) = |1 - 2x|

Reveal AnswerCorrect Answer: D

15. . What is/are the minimum point(s) of the function

1. (2, 0)
2. (-2, 0)
3. (0, 0) and (2, 0)
4. (-2, 0) and (2, 0)

Reveal AnswerCorrect Answer: D

16. . What is the domain of the function

1. [-9, 9]
2. [-3, 3]
3. [0, 3]
4. [-∞, 3]

Reveal AnswerCorrect Answer: B

17. . Calculate the gradient of the function

at x = -12.

1. 1/5
2. -1/5
3. -5
4. 5

Reveal AnswerCorrect Answer: B

18. . Which of the following functions is increasing in the entire interval [0, 4]?

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

Reveal AnswerCorrect Answer: D

19. . What is the x-intercept of the function

1. (2.5, 0)
2. (0, 2.5)
3. (0.4, 0)
4. (0, 0.4)

Reveal AnswerCorrect Answer: C

20. . Which horizontal line is tangent to the graph of the function

1. y = 0.75
2. y = 1
3. y = 1.33
4. y = 1.5

Reveal AnswerCorrect Answer: A

21. . What are the asymptotes of the reciprocal graph shown in the figure below?

1. x = 3 and y = 2
2. x = 2 and y = 4
3. x = 3 and y = 4
4. x = 4 and y = 3

Reveal AnswerCorrect Answer: C

22. . What is the equation of the tangent line with

at x = 3?

1. y = 5x/2 - 3
2. y = -5x/2 - 3
3. y = -5x/2 - 7
4. y = -5x/2 + 7

Reveal AnswerCorrect Answer: D

Whats next?

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2. Functions Math tutorial: Basic Functions. Read the Basic Functions math tutorial and build your math knowledge of Functions
3. Functions Revision Notes: Basic Functions. Print the notes so you can revise the key points covered in the math tutorial for Basic Functions
4. Check your calculations for Functions questions with our excellent Functions calculators which contain full equations and calculations clearly displayed line by line. See the Functions Calculators by iCalculator™ below.
5. Continuing learning functions - read our next math tutorial: Composite Functions

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