Attributes of a Graph

Front

What is a maximum in a graph?

Back

A maximum is the highest point on a graph where the function value is greater than the values around it.

Front

What is a minimum in a graph?

Back

A minimum is the lowest point on a graph where the function value is less than the values around it.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing when the function values rise as the input values increase.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing when the function values fall as the input values increase.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation 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 can include curves, parabolas, etc.

Front

What is a discrete function?

Back

A discrete function is a function that has distinct, separate values, often represented by individual points.

Front

What is a continuous function?

Back

A continuous function is a function that has no breaks, jumps, or holes in its graph, and can be drawn without lifting a pencil.

Front

What does it mean for a function to have both maximum and minimum values?

Back

A function has both maximum and minimum values if it has points that are the highest and lowest in a given interval.

Front

What is the difference between increasing and decreasing intervals in a graph?

Back

Increasing intervals are where the graph rises, while decreasing intervals are where the graph falls.