Summary of Contents

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ALCULATORS Setup When using this Guide, you should always, unless instructed otherwise, use the calculator setup specified below for both the TI85 and TI86. ) . Use the following instructions to choose the settings shown in Figure 1. Check MORE...

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TI86 Note: Because appropriate TI86 computer linking software had not yet been perfected at the time this material was written, TI86 screens in this Guide appear smaller than the TI 85 screens. Screens that appear the same on both calculators are shown for the TI85. Basic Operation You should be familiar with the basic operation of your calculator.

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æ ö ç ÷ Calculate ç ÷ 4*15 + 895 è ø (If you wish to clear the home screen, press 3. ANSWER DISPLAY When the denominator of a fraction has no more than three digits, your calculator can provide the answer in fraction form. When an answer is very large or very small, the calculator displays the result in scientific notation.

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TI85/TI86 Graphing Calculators Choose ) to position the cursor to the place the error Goto occurred so that you can correct the mistake or choose ) to begin a new line on the home screen. Quit Copyright © Houghton Mifflin Company. All rights reserved.

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Chapter 1 Ingredients of Change: Functions and Linear Models & 1.1 Fundamentals of Modeling There are many uses for a function that is entered in the graphing list. Graphing the function in an appropriate viewing window is one of these. Because you must enter all functions on one line (that is, you cannot write fractions and exponents the same way you do on paper) it is very important to have a good understanding of the calculatorÕs order of operations and to use parentheses whenever they are needed.

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TI85/TI86 Graphing Calculators Remove the lower menu with ZOOM MORE Notice that the graphics screen is blank. TI85 Press EXIT by ZDECM. TI86 Press EXIT by ZDECM. ¥ Both xMin and xMax are the settings of the left and right edges of the viewing screen, and yMin and yMax are the settings for the lower and upper edges of the viewing screen.

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Chapter 1 Both Press ) to draw the graph of GRAPH = 1000(1 + 0.05^x) in the new view. removes the menu from the CLEAR bottom of the screen if you wish to see more of the graph. Copyright © Houghton Mifflin Company. All rights reserved.

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(Delete all other functions that may be entered in other locations.) Before doing what follows, access the graphics menu with To access the range on the TI85 (called the window on the TI86), press . Set xMin to 0 and xMax to 10. (It does not matter what values are set in the yMin and yMax positions.) Press...

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Estimate the value of A where A = 1000(1 + 0.05) when x = 5, x = 7, and x = 10. Press EXIT RANGE have the settings shown to the right, reset the values. Press ZOOM ZOUT finishes drawing, press enlarge your view of the graph.

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TI86: Evaluating outputs from the home screen indicated above works on the TI86, advances in the TI86 technology give you a way to evaluate functions from the home screen using fewer keystrokes than for the TI85. Type ALPHA...

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1.1.7. You can also evaluate functions using the calculatorÕs TABLE. (On the TI85, the table is accessed with program TABLE.) When you use the table, you can ask for specific output values corresponding to the inputs you enter or generate a list of input values that begin with TblMin and differ by DTbl and their corresponding outputs.

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B12 TI85/TI86 Graphing Calculators The message that appears tells you to press to see the output. The output is in the form [ t, v(t) ]. We see that v(85) » $6945. If you had wanted to generate a list of values, starting at a value called TblMin and differing by DTbl, use the AUTO option in the program.

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Press ) , type in the xvalue(s) at which TABLE the function is to be evaluated, and press You can scroll through the table with , and/or . Unwanted input entries can be cleared with 1.2.2 SOLVING FOR INPUT VALUES equation that you enter in the SOLVER.

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TI85 and with GRAPH RANGE is at the top of the TI85 screen and the word WINDOW is at the top of the TI86 screen. Because the only difference in the calculators in this situation is the name that is used, we from this point forward refer to this key for both calculators as ) .

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) and reset yMin to  6 for a RANGE WIND good view of all intercepts. Press Even though it is very easy to find f(0) = have the calculator find the yintercept while view ing the graph by pressing TI85 MORE MATH TI86 MORE MATH Both View the yintercept f(0) = Copyright ©...

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B16 TI85/TI86 Graphing Calculators To graphically find an xintercept, i.e., a value of x at which the graph crosses the horizontal axis, first press to return the menu to the bottom of the screen. EXIT TI85 Press MATH TI86 Press...

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On the TI85, ¥ The TI85 interprets y composite function f(g(x)), you should substitute g(x) everywhere an x appears in f(x). For instance, if f(x) = x composite function (f On the TI86, ¥ Enter y ) in y to obtain the composite function (f Both Your calculator will evaluate and graph these constructed functions.

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ENTER TI85 You can find function values by evaluating out puts on the home screen or using the table. Do not forget to change the calculatorÕs FORMAT setting back to DrawLine when you finish graphing the piecewise function.

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After setting the proper horizontal view, you can now use ZFIT to draw a graph of the piecewise function. You can find function values by evaluating outputs on the home screen or using the table. & 1.4 Linear Functions and Models Actual realworld data is used throughout Calculus Concepts.

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ENTER 1.4.2 EDITING DATA IN THE TI85 LIST EDITOR value, access the data with the list editor and use the cursor keys to move to the value you wish to correct. Type the correct value and press ¥...

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There are several ways to do this, and the most convenient method is illustrated below. TI85 Whenever you enter new data in your calculator, you should first delete any previouslyentered data using one of the following methods: ¥...

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(The boxes may appear a slightly different size with different screen settings.) ¥ Even though the TI85 generally allows you to call lists by any names you want, you must enter the input data in the list named L using program STPLT.

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To graph data on the TI86: The TI86 has a builtin command to graph data and autoscale the data window. Press STAT PLOTS screen. (Your screen may not look exactly like this one.) Note: When drawing a graph from the y(x)= list, you may get an error message or see a scatter plot of ÒoldÓ...

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B24 TI85/TI86 Graphing Calculators output values are constant. indication that a linear model may be appropriate. Program DIFF is given in the TI85/TI86 Appendix. To run the program, press then the key under the name of the program. Press . If you have not entered the data, stop the...

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TI85 It is possible to enter data while in the statis tics mode of your calculator. However, the examples in this Guide assume that input data is already en tered in list L and output data is in list L...

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1.4.9 GRAPHING A MODEL scatter plot of the data to verify that the model provides a good fit to the data. TI85 After you have copied the model to the y(x)= list, run program STPLT to graph the model and the scatter plot on the same screen.

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You can explore the process of finding the line of best fit with program LSLINE. (Program LSLINE is given in the TI85/TI86 Appendix.) For your investigations of the leastsquares Copyright © Houghton Mifflin Company. All rights reserved.

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B28 TI85/TI86 Graphing Calculators process with this program, it is better to use data that is not perfectly linear and data for which you do not know the bestfitting line. Before using program LSLINE, clear the y(x)= list and enter your data in lists L Next, draw a scatter plot.

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(say, L . Press ENTER ¥ TI85 The original data remains in DATE. It is not deleted until you delete it using DELET press . Press ENTER ¥...
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