What is a Function?

Front

What is a function?

Back

A relation where every input (x-value) matches with exactly one output (y-value).

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What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

Each x-value corresponds to a unique y-value, and no two x-values share the same y-value.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represents a point on a graph.

Front

What is the domain of a function?

Back

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

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What is the range of a function?

Back

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

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form y = mx + b.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 corresponds to two different outputs.

Front

What is a mapping diagram?

Back

A visual representation that shows how each element of the domain is paired with an element of the range.

Front

What is a constant function?

Back

A function that always returns the same value, regardless of the input; e.g., f(x) = 5.