Relations and Functions

Front

What is a function?

Back

A relation that pairs each input with exactly one output.

Front

How can you determine if a relation is a function?

Back

If each input has exactly one output, it is a function.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input has more than one output.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represents a point in a coordinate system.

Front

What is the difference between input and output in a function?

Back

Input is the value you put into the function, and output is the value you get out.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is a relation in mathematics?

Back

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

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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