AP EAMCET (EAPCET) Mathematic Multiple Choice Questions (MCQs)

1. Which of the following is a one-to-one function?

• a) f(x) = x²
• b) f(x) = |x|
• c) f(x) = x + 2
• d) f(x) = sin(x)

Answer: c) f(x) = x + 2

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

• a) x > 3
• b) x ≥ 3
• c) x < 3
• d) x ≤ 3

Answer: b) x ≥ 3

3. Which of the following is an inverse function of f(x) = 2x + 3?

• a) f^-1(x) = (x - 3) / 2
• b) f^-1(x) = (x + 3) / 2
• c) f^-1(x) = 2x - 3
• d) f^-1(x) = x² - 3

Answer: a) f^-1(x) = (x - 3) / 2

4. If f(x) = x², which of the following is the correct domain for f(x)^-1?

• a) x ∈ ℜ
• b) x ≥ 0
• c) x < 0
• d) x ≠ 0

Answer: b) x ≥ 0

5. What is the range of the function f(x) = |x|?

• a) x ∈ ℜ
• b) [0, ∞)
• c) (-∞, ∞)
• d) [-∞, 0]

Answer: b) [0, ∞)

6. If f(x) = 1/x, what is the domain of f(x)?

• a) x ≠ 0
• b) x > 0
• c) x ≥ 0
• d) x ∈ ℜ

Answer: a) x ≠ 0

7. If f(g(x)) = x and g(f(x)) = x, then f and g are:

• a) Bijective functions
• b) Inverse functions
• c) Identical functions
• d) Constant functions

Answer: b) Inverse functions

8. Which of the following is the range of f(x) = ln(x)?

• a) x ∈ ℜ
• b) (0, ∞)
• c) (-∞, ∞)
• d) [-∞, 0]

Answer: c) (-∞, ∞)

9. If f(x) = 2x² - 3, what is the range of f(x) for x ∈ ℜ?

• a) [-3, ∞)
• b) (-∞, ∞)
• c) [0, ∞)
• d) (0, ∞)

Answer: a) [-3, ∞)

10. If f(x) = x³, which of the following statements is true?

• a) f(x) is a one-to-one function.
• b) f(x) is a many-to-one function.
• c) f(x) is not a function.
• d) f(x) has no inverse.

Answer: a) f(x) is a one-to-one function.