Identifying Functions

Front

Does the mapping of these points represent a function?

Back

Function: A relation where each input (x-value) has exactly one output (y-value).

Front

What are all of the x values called?

Back

Inputs: The x-values in a function.

Front

Does this table represent a function?

Back

Yes: A table represents a function if each input has one unique output.

Front

What are all of the y values called?

Back

Outputs: The y-values in a function.

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What is the domain of a function?

Back

Domain: The set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

Range: The set of all possible output values (y-values) for a function.

Front

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

Back

A relation is a function if each input is paired with exactly one 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 vertical line test?

Back

Vertical Line Test: 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.