5.1 Identifying Functions

Front

What is a function?

Back

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

Front

Which of the following is NOT a function?

Back

A relation where an input has multiple outputs.

Front

What are the inputs of a function called?

Back

Domain.

Front

What are the outputs of a function called?

Back

Range.

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 the definition of domain?

Back

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

Front

What is the definition of range?

Back

The set of all possible output values (y-values) for 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 a one-to-one function?

Back

A function where each output is paired with exactly one input.

Front

What is a many-to-one function?

Back

A function where multiple inputs can produce the same output.