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Graph the following points on a Cartesian plane. Label the and axes. Label each point.

A. (2, 4)B. (-3, 1)C. (-1, -4)D. (1, -3)E. (0, 0)

Warm-Up: October 9, 2015

Homework Questions?

Graphs and Graphing Utilities

Section 1.1

How can we graph functions?

Essential Question

Named after French mathematician René Descarte.

Also called Cartesian Coordinate System Also called Rectangular Coordinate

System Has an x-axis and y-axis The origin is the intersection of the axes The axes divide the plane into four

quadrants Each point corresponds to an ordered pair

of two real numbers (x, y)

Cartesian Plane

For a given equation, the graph is the set of all points whose coordinates satisfy the equation.

One method for graphing is the point-plotting method◦ Identify the basic shape of the graph, based on the

equation◦ Pick an value◦ Substitute it into the equation◦ Simplify to get the value◦ Plot the on a Cartesian plane◦ Continue plotting points until you have enough to

see what the graph looks like◦ Connect the dots◦ Draw arrows if the graph continues

Graphs of Equations

Graph

Example 2

Graph You-Try #2

The -intercept is where the graph crosses the -axis. The point is (-intercept, 0)

The -intercept is where the graph crosses the -axis. The point is (0, -intercept)

Intercepts

Graphing on TI-83 / TI-84

Page 121 #1-45 Every Other Odd You MUST use graph paper.

Assignment

In Exercises 1-12, plot the given point in a rectangular coordinate system.

Graph each equation in Exercises 13-28. Let x={-3, -2, -1, 0, 1, 2, 3}.

First Few Problems

0,4)95,3)54,1)1

2

2

4)25

)2112)172)13

xy

xyxyxy