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Questions and Answers

What is the definition of a function?

A relation where inputs and outputs are interchangeable

A relation where each input has only one output (correct)

A relation where inputs and outputs are unrelated

A relation where each input can have multiple outputs

Which of the following is an example of a function?

The set of ordered pairs {(1, 2), (3, 4), (5, 6)}

The set of ordered pairs {(1, 2), (2, 3), (1, 4)}

The set of ordered pairs {(1, 2), (1, 3), (1, 4)}

The set of ordered pairs {(1, 2), (1, 3), (2, 4)} (correct)

If a relation is not a function, what could be the reason?

The relation has no inputs

All inputs have exactly one corresponding output

The inputs and outputs are unrelated

One input has multiple corresponding outputs (correct)

What type of questions should NOT be asked based on the provided text?

Questions about examples of functions in general Signup and view all the answers

In the context of the provided text, what could be a common misunderstanding about relations and functions?

Thinking that all relations are functions Signup and view all the answers

Why should certain types of questions NOT be asked based on the provided text?

Because the text provides clear guidance on avoiding those questions Signup and view all the answers

Study Notes

Functions and Relations

A function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range).
An example of a function is a relation where every input corresponds to exactly one output.
If a relation is not a function, it could be because it does not pass the vertical line test, meaning a vertical line can intersect the graph of the relation at more than one point.
Questions that should NOT be asked based on the provided text are those that require a precise mathematical definition or technical details about functions, as the text does not provide those.
A common misunderstanding about relations and functions could be that all relations are functions, which is not the case.
Certain types of questions should NOT be asked based on the provided text because the text does not provide sufficient information to answer more specific or technical questions about functions.

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Description

Test your knowledge on functions and relations with questions about the definition of a function, identifying examples of functions, and reasons why a relation may not be a function.