Introduction to Mapping and Functions
Explore the fundamental concepts of mapping and functions, including domain, codomain, range, and different types of mappings, suitable for Grade 10 math students.
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Introduction to Mapping and Functions
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Read each question carefully and provide your answers in the spaces provided. Show all your work for full credit.
1. A is a rule that assigns each element in one set to exactly one element in another set.
2. The set of all possible input values for a function is called the .
3. The set of all output values that a function actually produces is called the .
4. The set of all possible output values for a function is called the .
5. Which of the following relations is NOT a function?
{ (1, 2), (2, 3), (3, 4) }
{ (1, 2), (1, 3), (2, 4) }
{ (2, 2), (3, 2), (4, 2) }
{ (0, 0), (1, 1), (2, 2) }
6. Consider the mapping shown below. Identify the domain, codomain, and range.
Domain:
Codomain:
Range:
7. Every function is a mapping.
True
False
8. Given the function f(x) = 2x + 5, find f(3).
9. Plot the function y = x^2 - 1 on the coordinate plane below.
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