Identifying 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 creates a straight line when graphed and has a constant rate of change.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function does not create a straight line when graphed and has a variable rate of change.

Front

How can you identify a function from a set of points?

Back

A set of points represents a function if no two points have the same x-value.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

What is an example of a linear function?

Back

y = 2x + 3 is an example of a linear function.

Front

What is an example of a nonlinear function?

Back

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

Front

What are inputs and outputs in a function?

Back

Inputs are the x-values, and outputs are the corresponding y-values in a function.

Front

What is a function table?

Back

A function table lists pairs of inputs and outputs to show how a function operates.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.