Identifying Functions

Front

What is a function?

Back

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

Front

Is the function Linear or Nonlinear?

Back

Linear

Front

What is the definition of a linear function?

Back

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

Front

What is the definition of a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line.

Front

Which of the following represents a function? (Example: (1,2), (1,3), (2,4))

Back

(1,2), (2,4) is a function because each input has one output.

Front

Is the table linear or nonlinear?

Back

Nonlinear

Front

What is the slope of a linear function?

Back

The slope is the rate of change of the function, calculated as rise over run.

Front

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

Back

A one-to-one function means that each output is paired with exactly one input.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What are x-values and y-values in a function?

Back

X-values are inputs, and Y-values are outputs in a function.