User manual ASTON THERMICA ATE 3

[. . . ] Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party. US FCC Information Concerning Radio Frequency Interference This equipment has been tested and found to comply with the limits for a Class B digital device, pursuant to Part 15 of the FCC rules. These limits are designed to provide reasonable protection against harmful interference in a residential installation. This equipment generates, uses, and can radiate radio frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference with radio communications. However, there is no guarantee that interference will not occur in a particular installation. [. . . ] Find the equation that represents the relationship between how many cookies Tham eats and how many Antonio eats, and represent your answers in the form of a function graph. Y=2X X=number of cookies Tham eats Y=number of cookies Antonio eats These steps explain what the calculator does internally when you define a function graph. The next page shows how to use the TIN73 to find the answers to this example. Y = 2¦X Y Y Y Y = = = = 2¦1 2¦2 2¦3 2¦4 = = = = 2 4 6 8 4. It graphs the (X, Y) pairs. 8 6 4 2 0 1 2 3 4 5 6 7309ENG. DOC CH 9 Function Graphing, English Julie Hewlett Revised: 07/29/98 12:14 PM Printed: 05/19/99 9:01 AM Page 165 of 24 166 Chapter 9: Function Graphing ³ Graph Y=2X on your calculator and find the solutions to the word problem. Show the table of (X, Y) coordinate pairs, if desired; use TblStart=0 and @Tbl=1. Use $ and # to scroll the X column. 1. Display the Y= editor. Your Y= editor may vary. Deselect all other defined functions, if necessary. 4. Define the viewing window for Quadrant 1 only. and " to move the cursor along the graph. ) The trace cursor X- and Ycoordinates of cursor 6. Find the Y values when X=1, 2, 3, and 4. 1b 2b 3b 4b When X=1, Y=2. 7309ENG. DOC CH 9 Function Graphing, English Julie Hewlett Revised: 07/29/98 12:14 PM Printed: 05/19/99 9:01 AM Page 166 of 24 Chapter 9: Function Graphing 167 Defining Functions in the Y= Editor & Use the Y= editor to define up to four functions, Y1, Y2, Y3, and Y 4, in terms of the independent variable, X. If the result of an expression is not a real number, that point is not plotted. You do not get an error. & Entering Functions Functions can consist of variables, lists, trigonometric or logarithmic expressions, or variations of already defined functions (for example, Y2=2¦Y 1). Access a Y n variable by pressing - } 2:Y-Vars. ³ Define Y 2=3X+5. 1. ExprOff 7309ENG. DOC CH 9 Function Graphing, English Julie Hewlett Revised: 07/29/98 12:14 PM Printed: 05/19/99 9:01 AM Page 172 of 24 Chapter 9: Function Graphing 173 Defining Window Values If you enter a function in the Y= editor and press *, but nothing happens or the graph doesn’t look the way you expect it to, you may need to adjust the WINDOW values ('). Depending upon which section of a graph you specify through the WINDOW values, the display on your calculator screen can look very different. In the example below, the first calculator screen uses WINDOW values which include all four quadrants for the function, Y 1=X¦cos(X). (Calculator is in Degree mode. ) Then, Quadrants I, II, III, and IV are shown separately, so you can see how WINDOW values affect the display. The next section explains how to redefine the values. Y 1=X¦cos(X) Ymax=500 All Quadrants Xmin=M500 Xmax=500 Xscl=90 Ymin=M500 Ymax=500 Yscl=75 Xmin=M500 Xmax=500 Ymin=M500 Quadrant II Xmin=M500 Xmax=0 Xscl=90 Ymin=0 Ymax=500 Yscl=75 Quadrant III Xmin=M500 Xmax=0 Xscl=90 Ymin=M500 Ymax=0 Yscl=75 Quadrant I Xmin=0 Xmax=500 Xscl=90 Ymin=0 Ymax=500 Yscl=75 Quadrant IV Xmin=0 Xmax=500 Xscl=90 Ymin=M500 Ymax=0 Yscl=75 7309ENG. DOC CH 9 Function Graphing, English Julie Hewlett Revised: 07/29/98 12:14 PM Printed: 05/19/99 9:01 AM Page 173 of 24 174 Chapter 9: Function Graphing The Window Values Screen ' WINDOW values put specific boundaries on the display. For an explanation of @X, see the section in this chapter entitled “Controlling the Increments of a Trace. ” To exit the WINDOW menu, select another screen by pressing the appropriate key, or press - l to return to the Home screen. ' Xmin The minimum value on the X-axis; must be less than Xmax. When tracing the graph with ), this determines the increments between X values. To turn off the tick marks, set Yscl=0. Xmax @x Xscl Ymin Ymax Yscl 7309ENG. DOC CH 9 Function Graphing, English Julie Hewlett Revised: 07/29/98 12:14 PM Printed: 05/19/99 9:01 AM Page 174 of 24 Chapter 9: Function Graphing 175 Determining Window Values for a Specific Graph The following example shows how you can adjust the WINDOW values manually (as opposed to using the standard WINDOW values set by ( 6:ZStandard). ³ Yuko practices the piano 50 minutes per day. How many Y=50X X=number of days Y=number of total minutes minutes has he practiced after 2, 4, and 5 days?Graph your answer. 1. A table of coordinate pairs would look like this: X 2 4 5 Y 100 200 250 2. A possible graph of the ordered pairs would look like this (the WINDOW values are labeled): Ymax=300 300 250 The Y-axis is measured in increments of 50; therefore, Yscl=50. 200 150 100 50 0 Xmin=0 Ymin=0 1 2 3 4 5 6 Xmax=6 The X-axis is measured in increments of 1; therefore, Xscl=1. 7309ENG. DOC CH 9 Function Graphing, English Julie Hewlett Revised: 07/29/98 12:14 PM Printed: 05/19/99 9:01 AM Page 175 of 24 176 Chapter 9: Function Graphing ³ Graph the function, Y 1=50X, on your calculator. 1. :50I Note: Deselect any other functions by highlighting the corresponding = and pressing b. [. . . ] TI strongly recommends that you insure the product for value prior to mailing. TI and its licensors do not warrant that the software will be free from errors or meet your specific requirements. The software and any documentation supplied with this product are protected by copyright. 99APPX-C. DOC Appx C:Battery/Service and Warranty Information, English Julie Hewlett Revised: 02/27/01 4:35 PM Printed: 02/28/01 11:29 AM Page 343 of 6 344 Appendix C: Service and Warranty Information Australia & New Zealand Customers only One-Year Limited Warranty for Commercial Electronic Product This Texas Instruments electronic product warranty extends only to the original purchaser and user of the product. This Texas Instruments electronic product is warranted to the original purchaser for a period of one (1) year from the original purchase date. [. . . ]