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Math Questions 16.5 - Piecewise Functions
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| Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions |
|---|---|---|---|---|---|
| 16.5 | Piecewise Functions |
Piecewise Functions Revision Questions
1. . What is f(3) - f(-2) + f(0) for the piecewise function below?
- 3
- 5
- 7
- 9
Correct Answer: D
2. . Which of the following is true about the continuity of the piecewise function below at x = -1 and x = 3?
- f(x) is continuous at x = -1 and x = 3
- f(x) is non-continuous at x = -1 and x = 3
- f(x) is continuous at x = -1 but non-continuous at x = 3
- f(x) is non-continuous at x = -1 but continuous at x = 3
Correct Answer: C
3. . What is the domain of the piecewise function below?
- D = (-∞, +∞)
- D = (-2, 8)
- D = (-2, 8]
- D = (-9, 64]
Correct Answer: C
4. . What is the range of the following piecewise function?
- R = (-∞, +∞)
- R = (-∞, 0) ⋃ (0, +∞)
- R = (0, +∞)
- R = (-∞, 0]
Correct Answer: B
5. . What is the value of a that makes the piecewise function below continuous at the given limit point?
- 0
- 1
- 2
- 4
Correct Answer: D
6. . What is the piecewise function shown by the graph below?
- f(x) = 3 - 2x x < 03x x ≥ 0
- f(x) = 1 - 2x x < 03x x ≥ 0
- f(x) = 1 - 2x x ≤ 03x x > 0
- f(x) = 2x - 1 x < 0-3x x ≥ 0
Correct Answer: B
7. . What is/are the limit point(s) of the piecewise function shown in the graph below?
- 0 and 3
- -1 and 3
- -1 and 0
- -1, 0 and 3
Correct Answer: B
8. . What is the constant part c of the piecewise function below if this function is continuous at the limit points?
- -5
- -1
- 0
- 2
Correct Answer: A
9. . What are the values of m and n which make the piecewise function below continuous everywhere?
- m = 1 and n = 2
- m = 2 and n = 1
- m = 0 and n = 2
- m = 1 and n = 0
Correct Answer: D
10. . Which of the following piecewise functions is continuous at every point?
- f(x)=3-x x<03x x≥0
- f(x)=2/x x<02x x≥0
- f(x)=1-2x x≤03x+1 x>0
- f(x)=2x-1 x<0-3x x≥0
Correct Answer: C
11. . What is the piecewise form of the absolute value function
- f(x) = 9 - x2 x ≥ 9x2 - 3 x < 9
- f(x) = 9 - x2 x ≥ 3x2 - 3 x < 3
- f(x) = 9 - x2 x ≤ 3x2 - 3 x > 3
- f(x) = 9 - x2 x ≤ 9x2 - 3 x > 9
Correct Answer: C
12. . What is the function shown in the graph below?
- f(x) = 2x
- f(x) = |2x - 1|
- f(x) = |2x + 1|
- f(x) = |1 + 2x|
Correct Answer: B
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- Functions Math tutorial: Piecewise Functions. Read the Piecewise Functions math tutorial and build your math knowledge of Functions
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- 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.
- Continuing learning functions - read our next math tutorial: Inverse Functions
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