Increasing vs. Decreasing vs. Constant Functions

Increasing vs. Decreasing vs. Constant

Functions

Mr. Diaz

Students will be able to determine when a function is increasing, decreasing, and/or constant, by using the intervals of the function.​

​For starters, watch this upcoming YouTube video to recap what Domain and Range mean and lead into today's lesson.

​Increasing:

​A function is increasing at any time when the graph of the function "rises from left to right", or in other words, the y-values increases while the x-values increases, creating a positive slope (rate of change).

​

​- The function to the right is increasing shown in the yellow interval.

​Decreasing:

​A function is decreasing at any time when the graph of the function "falls from left to right", or in other words, the y-values decreases while the x-values increases, creating a negative slope (rate of change).

​

The function to the right is decreasing shown by the orange interval.

​Constant:

​A function is constant at any time when the graph of the function "is horizontal from left to right", or in other words, the y-values are unchanged while the x-values increases, creating a zero slope (rate of change).

​

The function to the right is constant shown by the interval labeled B.

​We see slopes and functions change in the real world constantly...

​Our goal is to determine WHEN, or from what INTERVALS, are these functions increasing, decreasing or constant.

Go to DeltaMath.com and complete the newest assignment.

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