Lesson 3.5: Intervals of Increase and Decrease

Lesson 3.5

Intervals of Increase and Decrease​

By Reed Carbone

Definition:

​Increasing Function: A function is increasing when its slope is positive. (i.e. the line is pointing up)

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Decreasing Function: A function is decreasing when its slope is negative​. (i.e. the line is pointing down)

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Interval: An interval is like a certain part of a graph. For example, if I want to look at just the parts of a graph from x = 0 to x = 3, then this would be an interval.​

Subject | Subject

Some text here about the topic of discussion

​Visuals:

​Give the intervals the function is increasing and decreasing:

​Give the intervals the function is increasing and decreasing:

Multiple Choice

Is the function increasing or decreasing?

• Increasing

• Decreasing

• Both

• Not enough information to determine

Multiple Choice

Is this function increasing or decreasing?

• Increasing

• Decreasing

• Increasing and Decreasing

• Neither

Multiple Choice

What intervals is this function increasing?

• -2 to 2

• 0 to 1

• -1 to 1

• 0 to 2

Multiple Choice

What intervals is this function decreasing?

• -3 to 3

• 0 to 3

• 1 to 3

• 2-3 to 0

Multiple Choice

What intervals is this function increasing?

• 0 to 360

• 90 to 270

• 0 to 90 and 270 to 360

• 0 to 90 and 180 to 270

​Conclusion: Write two complete sentences about what you learned today.

​Rate Yourself:

​​​4: I understood this so well, I knew how to do the problems without Mr. Carbone teaching me how to do them.

3: I did pretty well on this assignment, after Mr. Carbone taught me how to do it I had very few errors.

2: I did ok on this assignment, I had errors finding my answers, but after seeing the teacher do it I could recreate their work.

1: I did not follow on this assignment. Without Mr. Carbone showing me every step I would not be able to solve these problems.