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Questions and Answers
What is the set of x-values to be evaluated by a function?
What is the set of x-values to be evaluated by a function?
What is the set of all the y-values that could possibly result from the evaluation of the function?
What is the set of all the y-values that could possibly result from the evaluation of the function?
If each element of a function's range is paired with exactly one element of the domain, then what type of function is it?
If each element of a function's range is paired with exactly one element of the domain, then what type of function is it?
What type of function has a codomain that is the same as its range?
What type of function has a codomain that is the same as its range?
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What is the set of y-values that actually result from the evaluation of the function?
What is the set of y-values that actually result from the evaluation of the function?
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Study Notes
Functions and Their Components
- A function describes a relationship between input and output values.
- The domain is the set of x-values to be evaluated by a function.
- The codomain is the set of all possible y-values that could result from the evaluation of the function.
- Unless otherwise stated, the codomain of a function is assumed to be all real numbers.
Range and Function Types
- The range is the set of y-values that actually result from the evaluation of the function.
- The range is contained within the codomain.
- A function is one-to-one if each element of its range is paired with exactly one element of the domain.
- A function is onto if its codomain is the same as its range.
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Description
Understand the concepts of domain, codomain, and range in a function, including their relationships and definitions.
