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.
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Grade 10 Function Relations
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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)}