Grade 10 Function Relations Worksheet
This worksheet covers key concepts in function relations for Grade 10 mathematics, including identifying functions, domain, range, and evaluating functions.
Includes
Standards
Topics
Grade 10 Function Relations
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following relations is NOT a function?
{ (1,2), (2,3), (3,4) }
{ (1,2), (1,3), (2,4) }
{ (1,1), (2,1), (3,1) }
{ (2,2), (3,3), (4,4) }
2. What is the domain of the function f(x) = √(x - 3)?
x > 3
x < 3
x ≥ 3
All real numbers
1. A relation where each input has exactly one output is called a .
2. The set of all possible input values for a function is called the .
3. The set of all possible output values for a function is called the .
1. Given the function f(x) = 2x + 5, find f(-3).
2. Determine if the following mapping diagram represents a function. Explain your reasoning.
Input: {1, 2, 3}
Output: {4, 5, 6}
Mapping: 1 → 4, 2 → 5, 3 → 5
1. All relations are functions.
True
False
2. The vertical line test can be used to determine if a graph represents a function.
True
False
1. Plot the following relation on the coordinate plane: {(-2, 1), (-1, -1), (0, 3), (1, 1), (2, -2)}
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