Domain and Range of Functions
Math ⇒ Functions
Domain and Range of Functions starts at 9 and continues till grade 12.
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See sample questions for grade 10
Explain the difference between domain and range of a function.
For the function f(x) = |x|, what is the range?
For the function f(x) = √(2x-6), what is the domain?
For the function f(x) = √(9-x²), what is the domain?
For the function f(x) = √(9-x²), what is the range?
For the function f(x) = √(x+3), what is the range?
For the function f(x) = √(x+4), what is the domain?
For the function f(x) = √(x-1), what is the smallest value in the domain?
Which of the following is the domain of f(x) = √(5-x)?
(1) x ≤ 5
(2) x ≥ 5
(3) x > 5
(4) x < 5
Which of the following is the domain of f(x) = 1/(x²-4)?
(1) All real numbers except x = 2 and x = -2
(2) All real numbers except x = 0
(3) All real numbers
(4) x > 0
Which of the following is the range of f(x) = -x²?
(1) y ≤ 0
(2) y ≥ 0
(3) y > 0
(4) y < 0
Which of the following is the domain of the function f(x) = \ln(5-x)?
(1) x < 5
(2) x > 5
(3) x \leq 5
(4) x \geq 5
The function f(x) = 1/(x²-1) is undefined at x = ____ and x = ____.
The function f(x) = 1/(x-5) is undefined at x = _____.
The function f(x) = 2/(x+1) is undefined at x = _____.
If f(x) = \frac{1}{x^2+4x+3}, fill in the blanks: The function is undefined at x = _____ and x = _____.
True or False: The domain of any polynomial function is all real numbers.
True or False: The domain of f(x) = √(x-7) is x ≥ 7.
True or False: The range of f(x) = -|x| is y ≤ 0.
True or False: The range of f(x) = |x-2| is y ≥ 0.
