Representing Relations and Functions

Front

What is a function?

Back

A function is a relation in which each input (or domain element) is associated with exactly one output (or range element).

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a relation is a function. If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

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What does it mean if a function has repeating inputs?

Back

If a function has repeating inputs, it means that the same input is associated with more than one output, which violates the definition of a function.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (or x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (or y-values) that the function can produce.

Front

How can you determine the range of a function given a set of ordered pairs?

Back

To determine the range of a function from a set of ordered pairs, list all the unique second elements (y-values) from the pairs.

Front

What is an example of a function?

Back

An example of a function is the relation {(1,2), (2,3), (3,4)}, where each input has a unique output.

Tags

CCSS.8.F.A.1

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1,2), (1,3)}, where the input '1' is associated with two different outputs.

Tags

CCSS.8.F.A.1

Front

What is a one-to-one function?

Back

A one-to-one function is a function in which each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.

Tags

CCSS.8.F.A.1