Flashcard #3 Identifying Functions (New)

Front

What is a function?

Back

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

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How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no x-value is repeated with different y-values.

Front

What does it mean if a graph is a function?

Back

A graph represents a function if any vertical line drawn intersects the graph at most once.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

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 value is paired with exactly one input value.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents how each input is paired with an output in a function.

Front

What is a relation?

Back

A relation is any set of ordered pairs, which may or may not be a function.