Functions, Functions, Functions

Front

What is the definition of a function?

Back

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

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line.

Front

How can you tell if a table represents a function?

Back

A table represents a function if there are no repeated x-values.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What is a mapping in the context of functions?

Back

A mapping shows how each input is paired with an 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 an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if a vertical line intersects the graph at more than one point.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input has more than one output.