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. a) Make a table like each one below and use the

rules provided to complete them.y = 2x + 1

y =-3x + 1

In (x)

-4 -3 -2 -1 0 1 2 3 4

Out (y)

In (x)

-4 -3 -2 -1 0 1 2 3 4

Out (y)

3-34 Continued…

b)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.

c)Plot and connect each set of points on the graph. Label each line with its rule.

3-35

What do the graphs look like?

How are the graphs similar?

How are they different?

3-36 Use the rule y = x² to complete the tablea)

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!

In (x) -4 -3 -2 -1 0 1 2 3 4

Out (y)

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.

3-44 ONE OF THESE POINTS IS NOT LIKE THE OTHER…

a) Plot and connect the points in the table below.

b) Identify the point that does not appear to fit the pattern.

c) Correct the point from part (b) so that it fits the pattern.

d) Does the point (10, 8) lie on this graph? How can you tell?

In (x) -2 4 1 6 -5 0

Out (y)

-6 -2 -3 2 -9 -4

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.

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

3-54 Examine the graphs from problem 3-53a) How are they different? Be as specific as you

can.

b) 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.

c) 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.

3-55 Reflection• What are the qualities of a “complete graph”?

• What of these elements to you sometimes forget or overlook?