intervals of increase or decrease

Front

What is an interval of increase in a graph?

Back

An interval of increase is a section of a graph where the y-values rise as the x-values increase.

Front

What is an interval of decrease in a graph?

Back

An interval of decrease is a section of a graph where the y-values fall as the x-values increase.

Front

What does it mean for a graph to remain constant?

Back

A graph remains constant when the y-values do not change as the x-values increase.

Front

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

Back

You can identify an interval of increase by observing where the graph slopes upwards from left to right.

Front

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

Back

You can identify an interval of decrease by observing where the graph slopes downwards from left to right.

Front

What is the significance of the slope of a line in determining intervals?

Back

The slope indicates whether the graph is increasing, decreasing, or constant; a positive slope indicates increase, a negative slope indicates decrease, and a slope of zero indicates constant.

Front

What does a horizontal line on a graph represent?

Back

A horizontal line represents a constant interval where the y-value does not change regardless of the x-value.

Front

If a graph has a positive slope, what can we conclude about the interval?

Back

If a graph has a positive slope, we can conclude that the interval is increasing.

Front

If a graph has a negative slope, what can we conclude about the interval?

Back

If a graph has a negative slope, we can conclude that the interval is decreasing.

Front

What is the role of critical points in determining intervals of increase or decrease?

Back

Critical points are where the graph changes direction; they help identify where intervals of increase or decrease begin and end.