## Tutoring on Graphing By Plotting Points

Learning Objectives:

#### Understand to Graph by Plotting Points.

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.
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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