Learning Objectives:

__Math Tutoring on Graphing By Plotting Points__

The behavior of **graphs**, described as increasing, decreasing, or constant.

A **graph** is **increasing** if as the inputs increase, the outputs increase, which also means if we read the **graph** from left to right, if it's going uphill, the **graph,** is increasing.

A **graph** is **decreasing**, if as the inputs increase, the outputs decrease, which means if you read the graph from left to right, if it's going downhill, the** graph** is decreasing.

Both increasing and decreasing **graphs** could also be a curve.

Then finally, a **graph** is** ****Constant**, if as the inputs increase, the outputs do not change.

If we read the **graph** from left to right, this means the **graph** doesn't go uphill or downhill, it would stay horizontal.

The** ****Criteria** for a good graph:

**1.** The **horizontal axis** should be properly labeled with the name and units of the input variable.

**2.** The **vertical axis** should be properly labeled with the name and units of the output variable.

**3.** Use an appropriate scale. Start at or just below the lowest value. End at or just above the highest value. Scale the **graph** so the adjacent tick marks are equal to the distance apart. Use numbers that make sense for the given data set.

**4.** All points should be plotted correctly, and the **graph** should make use of the available space.

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**Hook Questions:**

*1. *How can you differentiate between **increasing, decreasing and constant graphs?**

*2. *What are the **good criteria of a graph?**

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