Understanding Graph Behavior: Increasing, Decreasing, and Constant

The video tutorial explains how to identify increasing, decreasing, and constant intervals on a graph. It emphasizes reading graphs from left to right and using x-values to determine graph behavior. The tutorial clarifies the difference between graph notation and domain/range notation, providing practical steps for analyzing graph behavior.

What are the three types of intervals you need to identify on a graph?

• Rising, Falling, and Steady

• Positive, Negative, and Neutral

• Increasing, Decreasing, and Constant

• Upward, Downward, and Flat

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CCSS.HSA.REI.D.12

How does the notation for identifying intervals differ from domain and range?

• It includes only positive values

• It uses different symbols

• It represents a different type of information

• It is read from right to left

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Why is it important to read the graph from left to right?

• To follow the natural progression of time

• To avoid confusion with negative values

• To match the notation used in domain and range

• To ensure you are using the y values correctly

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CCSS.HSF-IF.C.7A

When starting from negative infinity, what should you focus on?

• The apex of the graph

• The x values

• The midpoint of the graph

• The y values

From negative infinity to the x value of negative four, what is the graph doing?

• Decreasing

• Constant

• Increasing

• Fluctuating

What should you use to indicate that a value is included in the interval?

• Brackets

• Parentheses

• Curly braces

• Quotation marks

From the x value of negative 4 to negative 1, what is the graph doing?

• Increasing

• Decreasing

• Constant

• Fluctuating

From the x value of negative 1 to positive 3, what is the graph doing?

• Constant

• Decreasing

• Fluctuating

• Increasing

From the x value of 3 to infinity, what is the graph doing?

• Fluctuating

• Constant

• Decreasing

• Increasing

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CCSS.HSF.IF.B.4

What common mistake do students make when reading graphs?

• Using the y values instead of the x values

• Reading the graph from right to left

• Ignoring the apex of the graph

• Using brackets instead of parentheses

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CCSS.HSF.IF.B.4