Grade 11 Math: Function Relations
Explore function relations, domain, range, and inverse functions with this comprehensive Grade 11 math worksheet.
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Function Relations Worksheet
Name:
Date:
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Which of the following relations is NOT a function?
{ (1,2), (2,3), (3,4) }
{ (1,2), (1,3), (2,4) }
{ (1,1), (2,2), (3,3) }
{ (1,5), (2,5), (3,5) }
2. What is the domain of the function f(x) = √(x - 3)?
x ≥ 0
x > 3
x ≥ 3
All real numbers
3. The set of all possible input values for a function is called the .
4. A relation where each input has exactly one output is called a .
5. Determine if the relation {( -2, 4 ), ( -1, 1 ), ( 0, 0 ), ( 1, 1 ), ( 2, 4 )} is a function. Explain your reasoning.
6. The inverse of a function is always a function.
True
False
7. Consider the graph of the relation shown below. Is this relation a function? Justify your answer using the vertical line test.
8. Given the function f(x) = 2x + 5, find its inverse function, f⁻¹(x). Show all steps.
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