Increasing and Decreasing Intervals

The video tutorial explains how to read graphs from left to right, identify increasing and decreasing portions, and understand switching points at hills and valleys. It covers writing intervals for these portions using x values and emphasizes the importance of using parentheses instead of brackets. The tutorial also discusses graph analysis, notation, and the relationship between switching values and parabolas, highlighting that parabolas do not have constant portions.

When reading a graph, in which direction should you always read to determine increasing or decreasing intervals?

• Bottom to top

• Left to right

• Top to bottom

• Right to left

What does the blue dot represent when it moves down and then up on the graph?

• A constant portion

• An increasing portion

• A decreasing portion followed by an increasing portion

• A decreasing portion

How many tick marks are there between 0 and 10 on the graph scale?

• 5

• 10

• 2

• 4

At what x value does the graph switch from decreasing to increasing?

• 0

• 10

• 2

• 5

Where does the blue dot switch from increasing to decreasing?

• At the start of the graph

• At the bottom of the hill

• At the end of the graph

• At the top of the hill

What is the term used for the point where the graph switches direction?

• Switch point

• Peak

• Vertex

• Trough

What is absent in the graph discussed in the video?

• Increasing portion

• Decreasing portion

• Constant portion

• Switching point

How do you describe where a graph is increasing or decreasing?

• Using time values

• Using z values

• Using x values

• Using y values

What is the interval for the increasing portion from negative three to negative one?

• (-3, -1)

• (-1, 3)

• (-3, 1)

• (3, -1)

What is the interval for the decreasing portion from negative one to positive two?

• (-2, 1)

• (-1, 2)

• (1, -2)

• (2, -1)