Year 10 Mathematics Quiz: Domain, Range, and Function Types
Instructions:
For each question below, select the correct answer from the options provided. Each question has only one correct answer.
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What is the domain of the function graphed below, which represents a straight line?
- A. All real numbers
- B. All positive numbers only
- C. All non-negative integers
- D. [-2, 5]
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What is the range of the nonlinear function shown in the graph below?
- A. [-3, 0]
- B. [0, 5]
- C. All real numbers
- D. [1, 4]
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Which of the following functions is discrete?
- A. f(x) = 2x + 3
- B. f(x) = x²
- C. f(x) = {1, 2, 2.5, 3, 4}
- D. f(x) = √x
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Identify if the function graphed is continuous or discontinuous:
- A. Continuous
- B. Discontinuous
- C. Neither
- D. Both
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If a function's domain is {x | x > 2}, what can be said about its continuity?
- A. It is discontinuous everywhere.
- B. It may be continuous or discontinuous based on the function.
- C. It is definitely continuous.
- D. It is always linear.
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For the quadratic function graphed below, what is its vertex?
- A. (2, 3)
- B. (0, -4)
- C. (-1, 2)
- D. (1, 0)
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What type of function is represented by a parabolic curve?
- A. Linear
- B. Exponential
- C. Quadratic
- D. Constant
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Which of the following statements is true about the range of a linear function?
- A. It is always bounded.
- B. It can be all real numbers.
- C. It is always a finite set.
- D. It consists of only positive values.
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What represents a discrete set of values?
- A. f(x) = x³
- B. f(x) = {0, 1, 2, 3}
- C. f(x) = 1/x
- D. f(x) = 4x - 3
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Which graph shows a continuous function?
- A. Graph with jumps
- B. Graph that is unbroken
- C. Graph that consists of isolated points
- D. Graph showing oscillation without a limit
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On which interval is the graphed function increasing?
- A. (-∞, -1)
- B. (-1, 2)
- C. (2, 3)
- D. (3, ∞)
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Identify the range of the function f(x) = -x² + 4.
- A. [0, 4]
- B. (-∞, 4]
- C. [4, ∞)
- D. (-∞, 0)
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Which type of function is represented by the equation f(x) = 3^(x)?
- A. Linear
- B. Exponential
- C. Polynomial
- D. Rational
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What is the domain of the function f(x) = 1/(x-2)?
- A. All real numbers
- B. All real numbers except 2
- C. Positive integers only
- D. x + 2
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Given a piecewise function defined as f(x) = { x + 2 for x < 0; 3 for x = 0; x² for x > 0 }, which statement is true?
- A. It is continuous at x = 0.
- B. It is discontinuous everywhere.
- C. It is linear everywhere.
- D. It is defined for all real numbers.