Domain and Range Worksheet
Grade 10 math worksheet focusing on identifying the domain and range of various functions, including graphs, equations, and real-world scenarios.
Includes
Standards
Topics
Domain and Range Assessment
Name:
Date:
Score:
Read each question carefully and determine the domain and range for the given functions. Show all your work where applicable.
1. For the following graph, identify the domain and range.
Domain:
Range:
2. What is the domain of the function f(x) = √(x - 3)?
x ≥ 0
x > 3
x ≥ 3
All real numbers
3. Which of the following functions has a range of all real numbers?
y = x²
y = |x|
y = √x
y = 3x - 5
4. The domain of a function refers to all possible values, and the range refers to all possible values.
5. For the function y = 1/(x - 2), the value x = is not included in the domain.
6. A baker sells cupcakes for $2 each. The total revenue R (in dollars) is a function of the number of cupcakes sold, n. If the baker has 50 cupcakes to sell, what are the domain and range of the revenue function in this context?
Domain:
Range:
7. The domain of the function f(x) = x² + 5 is all real numbers.
True
False
8. The range of the function g(x) = -|x| is all real numbers.
True
False
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