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The Graphing Calculator
CHAPTER 3. INTRODUCTION TO GRAPHING 140 y y 10 10 y= −10 10 x −10 −10 The Graphing Calculator 1. Enter the equation y = 2x + 3 into the Y= menu, then select 6:ZStandard from the ZOOM menu. Report the graph on your homework as follows: y y = 2x + 3 10 −10 10 −10 Second Edition: 2012-2013 x+5 10 −10 3.2 √ x x 3.2. THE GRAPHING CALCULATOR 141 3. Enter the equation y = 12 x−4 into the Y= menu, then select 6:ZStandard from the ZOOM menu. Report the graph on your homework as follows: y 10 −10 y = 12 x − 4 10 x −10 5. Enter the equation y = 9 − x2 into the Y= menu, then select 6:ZStandard from the ZOOM menu. Report the graph on your homework as follows: Second Edition: 2012-2013 142 CHAPTER 3. INTRODUCTION TO GRAPHING y 10 −10 10 −10 x y = 9 − x2 7. Enter the equation y = 12 x2 −3 into the Y= menu, then select 6:ZStandard from the ZOOM menu. Report the graph on your homework as follows: y y = 12 x2 − 3 10 −10 10 x −10 9. Enter the equation y = from the ZOOM menu. Second Edition: 2012-2013 √ x into the Y= menu, then select 6:ZStandard 3.2. THE GRAPHING CALCULATOR 143 Report the graph on your homework as follows: y 10 y= −10 √ 10 x x −10 √ 11. Enter the equation y = x + 3 into the Y= menu, then select 6:ZStandard from the ZOOM menu. Report the graph on your homework as follows: y 10 y= −10 √ x+3 10 x −10 13. Enter the equation y = |x| into the Y= menu, then select 6:ZStandard from the ZOOM menu. Second Edition: 2012-2013 144 CHAPTER 3. INTRODUCTION TO GRAPHING Report the graph on your homework as follows: y = |x| y 10 −10 10 x −10 15. Enter the equation y = |x+2| into the Y= menu, then select 6:ZStandard from the ZOOM menu. Report the graph on your homework as follows: y y = |x + 2| 10 −10 10 −10 Second Edition: 2012-2013 x 3.2. THE GRAPHING CALCULATOR 145 17. Enter the equation y = x2 + x − 20 into Y1= of the Y= menu, as shown in the first image below, then select 6:ZStandard from the ZOOM menu. In the WINDOW menu, make the changes shown in the second image to Ymin and Ymax, then push the GRAPH button to produce the graph shown in the third image. Report the graph on your homework as follows: y y = x2 + x − 20 30 −10 10 x −30 19. Enter the equation y = −x2 +4x+21 into Y1= of the Y= menu, as shown in the first image below, then select 6:ZStandard from the ZOOM menu. In the WINDOW menu, make the changes shown in the second image to Ymin and Ymax, then push the GRAPH button to produce the graph shown in the third image. Report the graph on your homework as follows: Second Edition: 2012-2013 CHAPTER 3. INTRODUCTION TO GRAPHING 146 y 30 −10 10 −30 x y = −x2 + 4x + 21 21. Enter the equation y = 2x2 −13x−24 into Y1= of the Y= menu, as shown in the first image below, then select 6:ZStandard from the ZOOM menu. In the WINDOW menu, make the changes shown in the second image to Ymin and Ymax, then push the GRAPH button to produce the graph shown in the third image. Report the graph on your homework as follows: y y = 2x2 − 13x − 24 50 −10 10 x −50 23. Enter the equations y = 2x + 1 and y = x + 8 into Y1= and Y2= of the Y= menu, as shown in the first image below, then select 6:ZStandard from the ZOOM menu. In the WINDOW menu, make the changes shown in Second Edition: 2012-2013 3.2. THE GRAPHING CALCULATOR 147 the second image to Ymin and Ymax, then push the GRAPH button. Press the TRACE button, then use the arrow keys to move the cursor as close as possible to the point of intersection, as shown in the third image. Report the graph on your homework as follows. As the TRACE key is only an approximation, estimates of the point of intersection may vary a bit. y 20 (6.91, 14.82) y =x+8 −5 y = 2x + 1 15 x −5 25. Enter the equations y = 12 x and y = 23 x−3 into Y1= and Y2= of the Y= menu, as shown in the first image below, then select 6:ZStandard from the ZOOM menu. In the WINDOW menu, make the changes shown in the second image to Ymin and Ymax, then push the GRAPH button. Press the TRACE button, then use the arrow keys to move the cursor as close as possible to the point of intersection, as shown in the third image. Report the graph on your homework as follows. As the TRACE key is only an approximation, estimates of the point of intersection may vary a bit. Second Edition: 2012-2013 CHAPTER 3. INTRODUCTION TO GRAPHING 148 y 20 (18.08, 9.04) y = 12 x x 35 −5 −5 y = 23 x − 3 27. Enter the equations y = 5 − x and y = −3 − 2x into Y1= and Y2= of the Y= menu, as shown in the first image below, then select 6:ZStandard from the ZOOM menu. In the WINDOW menu, make the changes shown in the second image to Ymin and Ymax, then push the GRAPH button. Press the TRACE button, then use the arrow keys to move the cursor as close as possible to the point of intersection, as shown in the third image. Report the graph on your homework as follows. As the TRACE key is only an approximation, estimates of the point of intersection may vary a bit. y 25 (−7.76, 12.76) y = 5−x −25 5 −5 Second Edition: 2012-2013 x y = −3 − 2x