Today you will learn how to make
your own graphs for rules and how to
recognize patterns in graphs.
a) Make a table like each one below and use the rules provided
to complete them.
y = 2x + 1
In
(x)
-4
-3
-2
-1
0
1
2
3
4
-3
-2
-1
0
1
2
3
4
Out
(y)
y =-3x + 1
In
(x)
Out
(y)
-4
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.
What do the graphs look like?
How are the graphs similar?
How are they different?
a)
In (x)
-4
-3
-2
-1
0
1
2
3
4
Out (y)
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!
Today you will graph a rule by first
making a table and then plotting the
points on a graph.
a) Plot and connect the points in the table below.
In (x)
-2
4
1
6
-5
0
Out (y)
-6
-2
-3
2
-9
-4
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?
Today you will continue to study
graphs by deciding what needs to go
into a graph to make it complete.
**Take note from previously made tables and graphs…
a) y = -x + 1
b) y = 0.5x + 2
c) y = x² - 4
a) 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.
• What are the qualities of a “complete graph”?
• What of these elements to you sometimes forget or overlook?
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Lesson 3.1.4 How should I graph?