Functions/Linear vs NonLinear Functions

Front

What is a function?

Back

A relation where every input has only ONE output.

Front

What is a linear function?

Back

A function that graphs to a straight line, having a constant rate of change.

Front

What is a nonlinear function?

Back

A function that does not graph to a straight line, having a variable rate of change.

Front

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

Back

Each x-value must correspond to only one y-value.

Front

What is the 'vertical line test'?

Back

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

Front

What does it mean for a function to be increasing?

Back

The y-values of the function rise as the x-values increase.

Front

What does it mean for a function to be decreasing?

Back

The y-values of the function fall as the x-values increase.

Front

What is the slope of a linear function?

Back

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

Front

What is a table of values?

Back

A set of ordered pairs (x, y) that represent a function.

Front

What is a graph of a function?

Back

A visual representation of the relationship between x and y values.