Intervals of Increase and Decrease

Front

What is an interval of increase?

Back

An interval of increase is a range of values on a graph where the function's output (y-value) rises as the input (x-value) increases.

Front

What is an interval of decrease?

Back

An interval of decrease is a range of values on a graph where the function's output (y-value) falls as the input (x-value) increases.

Front

What does it mean when a function is remaining constant?

Back

When a function is remaining constant, it means that the output (y-value) does not change as the input (x-value) increases.

Front

How can you identify an increasing interval on a graph?

Back

An increasing interval can be identified on a graph where the slope of the line is positive, meaning the line rises from left to right.

Front

How can you identify a decreasing interval on a graph?

Back

A decreasing interval can be identified on a graph where the slope of the line is negative, meaning the line falls from left to right.

Front

What is the significance of the x-axis in determining intervals of increase and decrease?

Back

The x-axis represents the input values, and analyzing the corresponding y-values helps determine where the function is increasing or decreasing.

Front

What is the significance of the y-axis in determining intervals of increase and decrease?

Back

The y-axis represents the output values, and observing how these values change with respect to the x-values helps identify the behavior of the function.

Front

What does a flat line on a graph indicate about the function?

Back

A flat line indicates that the function is remaining constant over that interval, meaning the output does not change as the input changes.

Front

If a function is increasing from 20 to 30 seconds, what does that imply?

Back

It implies that as time progresses from 20 to 30 seconds, the distance or value represented by the function is getting larger.

Front

If a function is decreasing from 45 to 60 seconds, what does that imply?

Back

It implies that as time progresses from 45 to 60 seconds, the distance or value represented by the function is getting smaller.