5.4+Exploring+Window+Settings+0910

Negative numbers help us to model many real world situations.
 * Big Idea**

Essential Question #5: How do I multiply and divide integers?

5.4 Exploring Window Settings A. Q: On paper, make a table of x and y values for the equation y= 3x + 2. A: I multiplied 3*x and added 2.
 * X || Y ||
 * 0 || 2 ||
 * 1 || 5 ||
 * 2 || 8 ||
 * 3 || 11 ||
 * 4 || 14 ||
 * 5 || 17 ||
 * 6 || 20 ||
 * 7 || 23 ||
 * 8 || 26 ||
 * 9 || 29 ||
 * 10 || 32 ||
 * 11 || 35 ||

B. Q: On grid paper, sketch a graph of y= 3x + 2. A: I plotted the points form the table above.

C. Q: Enter the equation y=3x + 2 into your graphing calculator, and press graph. Make sketch of the graph you see. How does this graph compare with the graph you drew? A: I went up in 5’s and the calculator in 1’s. The numbers on the other hand are the hand.



D. Q: If you press window, you will see a screen that allows you to change the section of the graph displayed in the window. Change the settings to those shown in “Window settings1” on the previous page, and then press graph to see the graph of y= 3x + 2.

1. Q: Make a sketch of the graph you see. A:

2. Q: How does this graph compare to with the graph you drew by hand in part B? A: It is about the same except this graph shows all quadrants the other on only 1 and in the graph in part B I went up in 5’s. 3. Q: How does this graph compare with the graph you made with your calculator in part C? A: They are the same. 4. Q: Explain what you think each entry on the “window settings 1” screen means? A: xmin=o means the minimum of x is 0, xmax=10 means the maximum of x is 10, xscl=1 means the scale of x is 1, ymin= 0 means the minimum of y is 0, ymax=10 means the maximum of y is 10, yscl=1 means the scale of y is 1.

E. Q: On paper, make a table of x and y for the equation y= 2x. A:
 * x || y ||
 * 1 || 2 ||
 * 2 || 4 ||
 * 3 || 6 ||
 * 4 || 8 ||
 * 5 || 10 ||
 * 6 || 12 ||
 * 7 || 14 ||
 * 8 || 16 ||
 * 9 || 18 ||
 * 10 || 20 ||

F. Q: On grid paper, sketch a graph of y= 2x

G. Q: Enter the equation y= 2x into your graphing calculator, and press graph. Make a sketch of the graph you see. A: H. Q: Change the window settings to those of “Window Settings 2” on the previous page, and then press graph to see the graph of y= 2x in the new window. 1. Q: Make a sketch of the graph you see. A: 2. Q: How those this graph compare to the graph you drew by hand in part F? A: It is almost the same except this graph shows all quadrants. 3. Q: How does this graph compare with the graph you made with your calculator in part G? A: It is about the same, but the one in part G had only one quadrant will this graph has all 4 quadrants. 4. Q: Explain what you think each entry on the “window Settings 2” screen means. A: xmin=-10 means that the minimum of x is -10, xmax=10 means that the maximum of x is 10, xscl=1 means the scale of x is 1, ymin=-10 means that the minimum of y is -10, ymax means that the maximum of y is 1-, yscl means that the scale of y is 1. 5.4 follow up 1. Q: In part D of problem 5.4, what happened to the coordinate grid on your calculator when you changed the window settings. Why? A: It went from 4 quadrants to 1 quadrant because first I had from -10 to 10 now from 0 to 10. 2. Q: Change the window settings so that only quadrant 3 of the coordinate grid is displayed. Record the window settings you used. A: xmix=-10, xmax=0, xscl=1, ymin=-10, ymax=0, xscl=1 3. Q: Graph y= 2x in the new window. Make a sketch of the graph you see. A: 4. Except for the point (0,0), which quadrants contain none of the points on the graph of y= 2x? A: Quadrant 2 and 4 5. Q: Which window settings would you use to display only quadrant? Quadrant 4? A: quadrant 2= xmin=-10, xmax=0, xscl=1, ymin=0, ymax=10, yscl=1. Quadrant 4= xmin=0, xmax=10, xscl=1, ymin=-10, ymax=-10, yscl=1.