Grade 12 Function Relations Worksheet
A Grade 12 Math worksheet focusing on understanding and analyzing function relations, including domain, range, inverse functions, and composition of functions.
Includes
Topics
Grade 12 Function Relations
Name:
Date:
Score:
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)}
{(x,y) | y = x + 5}
{(x,y) | y = x²}
2. The domain of the function f(x) = 1 / (x-3) is:
x ≠ 0
x ≠ 3
x > 3
All real numbers
3. The of a function is the set of all possible output values (y-values).
4. If f(g(x)) = x and g(f(x)) = x, then f and g are functions.
5. Given the function f(x) = 2x - 5, find its inverse function, f⁻¹(x).
6. For the functions f(x) = x² + 1 and g(x) = x - 3, find (f ∘ g)(x).
7. All relations are functions.
True
False
8. The graph of an inverse function is a reflection of the original function across the line y = x.
True
False
9. Plot the relation {(−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4)} on the coordinate plane. Is this relation a function? Explain your reasoning.
Related Worksheets
Grade 12 Math: Function Mapping Worksheet
This worksheet focuses on understanding and applying function mapping concepts, including domain, codomain, range, and types of mappings (one-to-one, onto, bijective).
Domain, Range, and End Behavior of Functions
Explore and analyze the domain, range, and end behavior of various functions at a Grade 12 level, including polynomial, rational, and radical functions.
Parent Functions and Transformations
Explore parent functions and their transformations including translations, reflections, stretches, and compressions at a Grade 12 level.
Grade 12 Function Composition Worksheet
This worksheet covers key concepts and applications of function composition for Grade 12 students, including evaluating composite functions and finding domains.
Transformation of Graphs Worksheet
Grade 12 Math worksheet on graph transformations including translations, reflections, stretches, and compressions.
Function Graphs Worksheet
Explore and analyze various function graphs including linear, quadratic, cubic, and trigonometric functions. This worksheet covers identifying key features, transformations, and interpreting graphical representations of functions.
Exponential Function Manipulation
A Grade 12 math worksheet focusing on manipulating and understanding exponential functions, including graphing, transformations, and solving equations.
Grade 12 Function Transformation Worksheet
A Grade 12 Math worksheet on function transformations, covering translations, reflections, stretches, and compressions.