Intervals of Increase and Decrease

Front

What is an interval of increase?

Back

An interval of increase is a range of values where a 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 where a 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 interval of increase on a graph?

Back

An interval of increase 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 an interval of decrease on a graph?

Back

An interval of decrease 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 behavior of a function at a local maximum?

Back

At a local maximum, the function changes from increasing to decreasing, indicating a peak point.

Front

What is the behavior of a function at a local minimum?

Back

At a local minimum, the function changes from decreasing to increasing, indicating a valley point.

Front

If a function is increasing from x = 1 to x = 3, what can we say about its values?

Back

The function's output values are getting larger as x moves from 1 to 3.

Front

If a function is decreasing from x = 4 to x = 6, what can we say about its values?

Back

The function's output values are getting smaller as x moves from 4 to 6.