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Lesson 3.1.4 How should I graph?

Lesson 3.1.4 How should I graph?. Today you will learn how to make your own graphs for rules and how to recognize patterns in graphs. 3-34 Use the provided rules to complete the following. Make a table like each one below and use the rules provided to complete them. y = 2x + 1 y =-3x + 1.

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Lesson 3.1.4 How should I graph?

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  1. Lesson 3.1.4 How should I graph? Today you will learn how to make your own graphs for rules and how to recognize patterns in graphs.

  2. 3-34 Use the provided rules to complete the following. • Make a table like each one below and use the rules provided to complete them. y = 2x + 1 y =-3x + 1

  3. 3-34 Continued… • Examine the numbers in the tables. What are the greatest x- and y-values? What are the smallest x- and y-values? Use this information to set up a coordinate plane on your graph paper. • Plot and connect each set of points on the graph. Label each line with its rule.

  4. 3-35 What do the graphs look like? How are the graphs similar? How are they different?

  5. 3-36 Use the rule y = x² to complete the table a) b) Examine the x and y values and create an appropriately scaled set of axes. Plot and connect the points on the graph and label it with your rule. c) This graph is an example of a PARABOLA!

  6. Lesson 3.1.5How can I graph it? Today you will graph a rule by first making a table and then plotting the points on a graph.

  7. 3-44 ONE OF THESE POINTS IS NOT LIKE THE OTHER… • Plot and connect the points in the table below. • Identify the point that does not appear to fit the pattern. • Correct the point from part (b) so that it fits the pattern. • Does the point (10, 8) lie on this graph? How can you tell?

  8. Lesson 3.1.6What makes a complete graph? Today you will continue to study graphs by deciding what needs to go into a graph to make it complete.

  9. 3-53 Make your own complete graph for each of the following rules. **Take note from previously made tables and graphs… a) y = -x + 1 b) y = 0.5x + 2 c) y = x² - 4

  10. 3-54 Examine the graphs from problem 3-53 • How are they different? Be as specific as you can. • Label the (x, y) coordinates on each of your graphs for the point where each graph crosses the y-axis. These points are called the y-intercepts. • Label the (x, y) coordinates on each of your graphs for the points where each graph crosses the x-axis. These points are called x-intercepts.

  11. 3-55 Reflection • What are the qualities of a “complete graph”? • What of these elements to you sometimes forget or overlook?

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