Domain and Range Worksheet

Explore the concepts of domain and range for various functions, including graphs, equations, and real-world scenarios.

Grade 9 Math Functions OperationsDomain and Range

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.IF.A.1CCSS.MATH.CONTENT.HSF.IF.B.5

6 sections · Free to use · Printable

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Domain and Range Worksheet

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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