Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a table of values represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the definition of a relation in mathematics?

Back

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

Front

What is the range of a function?

Back

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

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.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

How can you create a non-function from a set of points?

Back

You can create a non-function by adding an ordered pair that has the same x-value as an existing pair but a different y-value.

Front

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.

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 is the significance of the x-value in an ordered pair?

Back

The x-value in an ordered pair represents the input of the function.