Domain and Range of Functions

Math ⇒ Functions

Domain and Range of Functions starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Domain and Range of Functions. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

Explain the difference between the domain and range of a function.

Explain why the function f(x) = 1/(x+1) is undefined at x = -1.

Find the domain and range of f(x) = |x-4|.

Find the domain and range of f(x) = 2x + 5.

Find the domain and range of f(x) = 5.

Find the domain of f(x) = 1/√(x-1).

Find the range of f(x) = 4 - |x|.

If f(x) = √(9-x²), what is the domain of f(x)?

Which of the following is the correct domain for f(x) = √(5-x)? (1) x ≤ 5 (2) x ≥ 5 (3) x < 0 (4) x > 0

Which of the following is the correct range for f(x) = ln(x)? (1) (0, ∞) (2) (-∞, ∞) (3) [0, ∞) (4) (-∞, 0)

Which of the following is the domain of f(x) = log₁₀(x-2)? (1) x > 2 (2) x ≥ 2 (3) x < 2 (4) x ≤ 2

Which of the following is the range of f(x) = cos(x)? (1) [-1, 1] (2) [0, 1] (3) (-∞, ∞) (4) [0, ∞)

For the function f(x) = √(2x-6), the domain is x ≥ ____.

For the function f(x) = 1/(x²-1), the domain is all real numbers except x = ____ and x = ____.

The domain of f(x) = √(x²-9) is x ≤ ____ or x ≥ ____.

The function f(x) = 1/(x²+1) has a domain of ____ and a range of ____.

True or False: The domain of f(x) = √(x+2) is x ≥ -2.

True or False: The domain of f(x) = tan(x) is all real numbers except x = (2n+1)π/2, where n is any integer.

True or False: The function f(x) = √x is defined for all real numbers.

True or False: The function f(x) = 1/x has a range of all real numbers except 0.