Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What are the x values in a function called?

Back

Inputs.

Front

What are the y values in a function called?

Back

Outputs.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x value) is paired with exactly one output (y value).

Front

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

Back

It means that for every input, there is only one corresponding output.

Front

What is a vertical line test?

Back

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

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 an example of a function?

Back

The equation y = 2x + 3 is a function because for every x value, there is one corresponding y value.