intervals of increase or decrease

Front

What is an interval of increase?

Back

An interval of increase is a section of a graph where the function's value rises as the input value increases.

Front

What is an interval of decrease?

Back

An interval of decrease is a section of a graph where the function's value falls as the input value increases.

Front

What does a constant interval on a graph represent?

Back

A constant interval on a graph represents a situation where the function's value does not change as the input value increases.

Front

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

Back

You can identify an interval of increase on a graph by looking for sections 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 on a graph by looking for sections where the graph slopes downwards from left to right.

Front

What does it mean if a graph is flat (horizontal)?

Back

If a graph is flat (horizontal), it indicates that the function's value is constant over that interval.

Front

What is the significance of the slope of a graph?

Back

The slope of a graph indicates the rate of change of the function; a positive slope indicates increase, a negative slope indicates decrease, and a slope of zero indicates constant value.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, indicating a constant rate of change.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line, indicating varying rates of change.

Front

What does it mean for a function to be increasing at a constant rate?

Back

It means that the function's value increases by the same amount for equal increases in the input value.