Identifying Functions

Front

What is the definition of a function?

Back

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

Front

Which of the following represents a function?

Back

A function is represented by a table or graph where each input (x-value) corresponds to exactly one output (y-value).

Front

What are the inputs of a function called?

Back

Inputs are called the domain of the function.

Front

What are the outputs of a function called?

Back

Outputs are called the range of the function.

Front

What is the relationship between x-values and y-values in a function?

Back

In a function, each x-value (input) is paired with exactly one y-value (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

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

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is produced by exactly one input.