Functions 8.F.1

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What are the x values in a function called?

Back

The x values are called the Domain.

Front

What are the y values in a function called?

Back

The y values are called the Range.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is 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

What is an example of a one-to-one function?

Back

An example of a one-to-one function is f(x) = 2x.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)} because the input 1 has two different outputs.

Front

What does it mean for a function to be defined?

Back

A function is defined when every input has a corresponding output.

Front

What is the range of a function?

Back

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