Domain and Range Worksheet
Explore the concepts of domain and range for various functions, including graphs, equations, and real-world scenarios.
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Standards
Domain and Range Worksheet
Name:
Date:
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Read each question carefully and determine the domain and range for the given functions or relations.
1. What is the domain of the function f(x) = √(x - 3)?
[3, ∞)
(-∞, 3]
(-∞, ∞)
(3, ∞)
2. Which of the following relations has a range of {-2, 0, 3}?
{(1, -2), (2, 0), (3, 3)}
{(-2, 1), (0, 2), (3, 3)}
{(1, -2), (2, -2), (3, 0)}
{(1, 0), (2, 3), (3, 0)}
3. The set of all possible input values for a function is called the .
4. The set of all possible output values for a function is called the .
5. Determine the domain and range of the function shown in the graph below:
Domain:
Range:
6. A ball is thrown upwards from a height of 5 feet with an initial velocity of 48 feet per second. The height of the ball (h) after t seconds is given by the function h(t) = -16t² + 48t + 5. What is the practical domain and range of this function in this context?
Practical Domain:
Practical Range:
7. The domain of a polynomial function is always all real numbers.
True
False
8. The range of the function f(x) = x² is [0, ∞).
True
False
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