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 11

Describe the range of the function f(x) = eˣ.

Explain why the function f(x) = √x is not defined for negative values of x.

Explain why the function f(x) = ln(x) has a restricted domain.

Find the domain and range of the function f(x) = |x-2|.

Find the domain of the function f(x) = √(5 - x).

Given the function f(x) = 2/(x+3), what is the domain?

If f(x) = √(x-1), what is the range of f?

If f(x) = 1/(x+1), which value of x is not allowed in the domain?

The range of f(x) = 3 - x² is: (1) y ≤ 3 (2) y ≥ 3 (3) y = 3 (4) y > 3

Which of the following is NOT in the range of f(x) = 2/(x-1)? (1) 0 (2) 1 (3) -2 (4) 2

Which of the following is the domain of f(x) = 1/(x²-1)? (1) x ≠ 1 and x ≠ -1 (2) x > 1 (3) x < -1 (4) x = 0

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

Fill in the blank: The domain of f(x) = √(x² - 9) is __________.

Fill in the blank: The domain of f(x) = 1/(x²+4) is __________.

Fill in the blank: The domain of f(x) = 1/√(x-2) is __________.

Fill in the blank: The range of f(x) = cos(x) is __________.

True or False: The domain of any polynomial function is all real numbers.

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) = 1/(x²+1) is defined for all real numbers.

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