intervals of increase or decrease

Front

What is an interval of increase?

Back

An interval of increase is a range on a graph where the function's value rises as you move from left to right.

Front

What is an interval of decrease?

Back

An interval of decrease is a range on a graph where the function's value falls as you move from left to right.

Front

What does it mean when a graph is constant?

Back

A constant graph means that the function's value does not change over that interval.

Front

How can you identify an interval of increase on a graph?

Back

You can identify an interval of increase by looking for sections where the graph slopes upwards.

Front

How can you identify an interval of decrease on a graph?

Back

You can identify an interval of decrease by looking for sections where the graph slopes downwards.

Front

What does a horizontal line on a graph indicate?

Back

A horizontal line indicates that the function is constant over that interval.

Front

What is the significance of the slope of a line in a graph?

Back

The slope indicates the rate of change of the function; a positive slope means increase, a negative slope means decrease.

Front

What does it mean if a graph has both increasing and decreasing intervals?

Back

It means that the function's behavior changes at certain points, indicating local maxima or minima.

Front

What is a local maximum?

Back

A local maximum is a point on the graph where the function reaches a peak compared to nearby points.

Front

What is a local minimum?

Back

A local minimum is a point on the graph where the function reaches a low compared to nearby points.