Function or Non-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 non-function?

Back

A non-function is a relation where at least one input (x-value) has more than one output (y-value).

Tags

CCSS.8.F.A.1

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How can you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn on the graph intersects the curve at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function by checking if a vertical line crosses the graph more than once.

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If a relation has the pairs (1, 2), (1, 3), (2, 4), is it a function?

Back

No, because the input '1' has two different outputs (2 and 3).

Tags

CCSS.8.F.A.1

Front

If a relation has the pairs (1, 2), (2, 3), (3, 4), is it a function?

Back

Yes, because each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be one-to-one?

Back

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

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Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Tags

CCSS.8.F.A.1

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What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Tags

CCSS.8.F.A.1

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What is the domain of a function?

Back

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