5.3+Using+a+Calculator+to+Explore+Lines

JO
 * 5-5-09
 * Big idea:**Negative numbers help us to model many real world situations
 * Essential Question:** How do I multiply and divide integers?
 * Notes from Class:** In graphing calulator, first go to Y= and write in the equation. Then go to GRAPH to see what it looks like. You can adjuts it on WINDOWS. and if you press 2ND and then click GRAPH it will show you the table

__**5.3**__

2. Predict how the graph of y=-4x will differ from the graph of y=4x. Then, enter the equation y=-4x as Y2, and press GRAPH to see the graphs of both equations in the same window. Add a sketch of y=-4x to your sketch from part 1**
 * A. 1. Enter the equation y=4x into your graphing calculator as Y1, and then press GRAPH to see a graph of the equation. Make a sketch of the graph you see.




 * A. 3. How are the graphs alike? How are they different?**

They are alike because there both the same length, and they both have the same break even line. And there different because they are opposites of each other so one takes quadrant 1 and 3 while the other one takes quadrant 2 and 4.


 * B. 1. Press TABLE to look at the table showing data for both equations (y=4x and y= -4x). You may need to use the l> key to see the Y2 column. Copy part of the table onto your paper.**
 * B. 2. For each value of x in the table, look at the two corresponding values of y (Y1 and Y2). How are the two y values for a given x value related? How does this relationship show up in the graph?**

They are related because they both have the same numbers so they both will make a straight line. But since one is negative and the other is positive, on the graph, they will cross each other at the center of the graph since they correspond with each other.


 * C. With your graphing calculator, experiment with each set of equations. Look at the graphs and the tables. Record your observations.

1. Y=4+5 and y=-4x+5 2. Y=4x-5 and -4-5 F.U

In 1-3, predict what the graphs of the equations will look like. Then test your predictions by using a graphin calculator.

1. Y=3x and Y=-3x 2. Y=3x+3 and Y=-3x+3 3. Y= 3x-3 and Y=-3x-3 4. Give three other pairs of equations that will have a relationship similar to the pairs above.**

Y=4x and -4x Y=4x+3 and -4x+3 Y=4x-3 and -4x-3 ||