Relations and Functions

Front

What is a function?

Back

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

Front

What is a relation?

Back

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

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

What does it mean if a mapping is 'not a function'?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

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 is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input and output values.

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 a table of values?

Back

A table of values lists pairs of input and output values, showing the relationship between them.

Front

What is a set of ordered pairs?

Back

A set of ordered pairs is a collection of pairs (x, y) that represent the relationship between two variables.

Front

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.