Is the Relation a Function?

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What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

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What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

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

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What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

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How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Tags

CCSS.8.F.A.1

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What does it mean if a relation is not a function?

Back

If a relation is not a function, it means that at least one x-value is associated with more than one y-value.

Tags

CCSS.8.F.A.1

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Example of a function: {(1,2), (2,3), (3,4)}. Is this a function?

Back

Yes, this is a function because each x-value has a unique y-value.

Tags

CCSS.8.F.A.1

Front

Example of a relation: {(1,2), (1,3), (2,4)}. Is this a function?

Back

No, this is not a function because the x-value '1' is associated with two different y-values (2 and 3).

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Tags

CCSS.5.G.A.1

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What is a vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.