Functions

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents 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 relation to be a function?

Back

A relation is a function if every input (x-value) corresponds to exactly one output (y-value).

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input. Each input must map to one and only one output.

Front

What is an ordered pair?

Back

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

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If any horizontal line intersects the graph more than once, it is not one-to-one.

Front

What does it mean if a y-value repeats in a set of ordered pairs?

Back

If a y-value repeats but has different x-values, it does not affect whether the relation is a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

What is the definition of a domain in a function?

Back

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

Front

What is the definition of a range in a function?

Back

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