Determining Functions

Front

What is a function?

Back

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

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 are the x-values in a function called?

Back

The x-values are called inputs.

Front

What are the y-values in a function called?

Back

The y-values are called outputs.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and may include curves or other shapes.

Front

Give an example of a function.

Back

An example of a function is f(x) = 2x + 3.

Front

Give 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 is the domain of a function?

Back

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