Jenn Whitfield's
TI-83 Tutorial for Business Calculus

General Application Calculus Specific Applications
Getting to the Home Screen Creating Scatterplots
Adjusting the Contrast Finding the Maximum
Setting the Window Finding the Minimum
Clearing Programs Graphing a Piecewise Function
Constructing a Table Finding x-intercepts (a.k.a. zeros or roots)
Setting Up the Table Finding Intersections
Graphing a Function Regression (best fitting model)
Using the TVM Solver
Finding the Derivative at a Point
Draw a Tangent line
Evaluating a Definite Integral
TI_83plus



GETTING TO THE HOME SCREEN
  1. The home screen is the screen where all calculations are performed. To get to the home screen press 2ndMODE
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ADJUSTING THE CONTRAST
  1. To darken the screen, press 2nd and then hold down the uparrow. If you look in the upper right corner of the screen you should see numbers increasing. If the number appearing is a 7 or 8 and your screen is still light, your batteries need to be replaced.
  2. To lighten the screen, press 2nd and hold down the downarrow. If you look in the upper right corner of the screen you should see numbers decreasing.
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SETTING THE WINDOW
  1. Press WINDOW to obtain the following menu. Changes can be made by putting the cursor next to the item you want changed, type in the new values, and then press ENTER . The value for x-min must be smaller than the value of x-max. The same is true for y-min and y-max.
  2. To obtain a standard window (the window setting shown above) press ZOOM and selecting 6:ZSandard. The dimensions of this viewing window are [x-min,x-max]X[y-min,y-max]=[-10,10]X[-10,10].
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CLEARING PROGRAMS Return to Top


CREATING A SCATTERPLOT
  1. Clear all data from lists by pressing STAT and choosing 4:ClrList. This will take you back to the home screen.
  2. Now press 2nd1 comma 2nd2. Your screen should like the following.

    If it does then press ENTER and the calculator should respond with Done.

  3. Press STAT then select 1:Edit...
  4. Input the x values into L1 and the y values into L2.
  5. Press 2ndy= to access the scatterplot menu. Select 1:Plot 1... Make the screen look like the folllowing

  6. Press GRAPH and adjust your window so all data points can be seen on the screen.
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GRAPHING A FUNCTION
  1. Press Y=. If a previous function is displayed, put the cursor on the function and press clear.
  2. Enter the function. To enter a function like f (x) = x4 - 2x2 + 1, press the following keys.
  3. x^4 minus2x squaredplus 1
  4. Press graph
  5. to display the graph. You may need to adjust your window to see the graph. A good window to use for this example is [-4,4]X[-10,10].
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FINDING THE MAXIMUM
  1. Press y= and input the function.
  2. Press 2ndtrace and choose 4:maximum.
  3. At the bottom of the screen the words "Left Bound?" appear. Use the leftarrow or rightarrow to move the cursor to the left of the maximum (peak) and press enter, should appear at the top of the screen marking the left bound.
  4. At the bottom of the screen the words "Right Bound?" appear. Use therightarrow to move the cursor to the right of the maximum (peak) and press enter. The top of the screen should now have . These two arrows must be facing each other.
  5. At the bottom of the screen the word "Guess?" appears. Use the leftarrow to move the cursor close to the maximum and press enter. The maximum point is displayed at the bottom of the screen.
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FINDING THE MINIMUM
  1. Press y= and input the function.
  2. Press 2ndtrace and choose 3:minimum.
  3. At the bottom of the screen the words "Left Bound?" appear. Use the leftarrow or rightarrow to move the cursor to the left of the minimum (valley) and press enter, should appear at the top of the screen marking the left bound.
  4. At the bottom of the screen the words "Right Bound?" appear. Use therightarrow to move the cursor to the right of the minimum (valley) and press enter. The top of the screen should now have . These two arrows must be facing each other.
  5. At the bottom of the screen the word "Guess?" appears. Use the leftarrow to move the cursor close to the minimum and press enter. The minimum point is displayed at the bottom of the screen.
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GRAPHING A PIECEWISE FUNCTION
  1. Press mode and move the cursor so it is blinking on "Dot". Press enter to highlight "Dot".
  2. To graph

    press y=. Next to Y1= enter the first piece of the function by pressing.
    xsquared (x 2ndmath

    choose 5: < continue by pressing

    1)enter

    The inputting of the first piece of the function is now complete. Repeat this process to enter the other two pieces of the function. When the entire piecewise function is typed into the calculator the screen should look like the one below. Notice the x-intervals are always place between parentheses. Pay particular attention to the way the x-interval for the second piece of the function was inputted.

  3. Press graph. Your screen should like the graph below.
    You may need to adjust your window to see the graph.
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FINDING X-INTERCEPTS (a.k.a ZEROS or ROOTS)
  1. Press y= and enter the function.
  2. Press graph.You may need to adjust your window to see the graph.
  3. Press 2nd trace to access the calculate menu.
  4. Choose 2:zero .
  5. At the bottom of the screen the words "Left Bound?" appear. Use the leftarrow or rightarrow to move the cursor to the left of the point where the graph crosses the x-axis and press enter, should appear at the top of the screen marking the left bound.
  6. At the bottom of the screen the words "Right Bound?" appear. Use therightarrow to move the cursor to the right of the point where the graph crosses the x-axis and press enter. The top of the screen should now have . These two arrows must be facing each other.
  7. At the bottom of the screen the word "Guess?" appears. Use the leftarrow to move the cursor close to the point where the graph crosses the x-axis and press enter. The x-intercept (a.k.a. root or zero), is displayed at the bottom of the screen.
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FINDING INTERSECTIONS
  1. Press y= and enter the functions.
  2. Press graph.You may need to adjust your window to see the graph.
  3. Press 2nd trace to access the calculate menu.
  4. Choose 5:intersect.
  5. At the bottom of the screen the words "First Curve?" appear. At the top of the screen the equation of the function that the blinking cursor is on is displayed. If the blinking cursor is not on one of the two graphs you want to find the intersection of, press uparrow and the blinking cursor will jump to another graph. When the blinking cursor is on one of the two graphs you want to find the intersection of, press enter.
  6. At the bottom of the screen the words "Second Curve?" appear. At the top of the screen the equation of the function that the blinking cursor is on is diplayed. If the blinking cursor is not on the graph of the second function you are calculating the intersection of, press and the blinking cursor will jump to another graph. When the blinking cursor is on the second of the two graphs you want to find the intersectin of, press enter.
  7. At the bottom of the screen the word "Guess?" appears. Use the leftarrow or rightarrow to move the cursor close to the point of interesection and press enter. The point of intersection is displayed at the bottom of the screen.
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CONSTRUCTING A TABLE
  1. Press y= and enter a function.
  2. Press 2ndgraph and a table is displayed. To scroll up or down the table put the cursor in the "X" column and press downarrow or uparrow.
  3. To change the increments of the x values go to Setting up the table .
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SETTING UP THE TABLE
  1. Press 2ndwindow. The following screen is displayed.
    To change these values put the cursor next to the equal sign and type in the desired values.
  2. It is recommended that auto is highlighted for both the independent and dependent variable.
  3. Press 2ndgraph to display the table.
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Regression (finding a best fitting model)
  1. Activating the R2
  2. Press y= and clear all functions.
  3. Follow the instructions for creating scatterplots to display the data.
  4. Press stat and rightarrow to access the CALC menu. Select the number that corresponds with the type of regression needed.
    Once you have chosen the type of regression needed, your calculator will automatically go to the home screen.
  5. Press vars and rightarrow to Y-VARS.
  6. Select 1:Function. Then select 1:Y1 and press enter. The regression information, along with the R2 value, will appear on the screen.
  7. Press y= and the regression equation appears in Y1.
  8. Press graph to see the data points and regression model displayed. You may need to adjust your window to see the graph.
  9. To find other regression models for the same data, go back to step 5 and repeat the process.
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Using the TVM Solver
  1. If you have a TI-83 press 2ndx^-1, then select 1:TVM Solver. If you have a TI_83 plus, press apps, select 1:Finance, then 1:TVM Solver. The TVM solver screen and the definitions of each variable are shown below.
  2. After the appropriate information has been inputed into the calculator, put the cursor on the variable you are solving for and press alphaenter. The answer will appear in the location of the cursor.
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Finding the Derivative at a Point Return to Top


Draw a Tangent Line
  1. Press y= and enter the function.
  2. Press graph.You may need to adjust your window to see the graph.
  3. From the graph screen, press 2nd to access the draw menu.
  4. Choose 5:Tangent(.
  5. Input the x value where the tangent line is to be drawn and press enter. The tangent line will be drawn and the equation of the tangent line is displayed at the bottom of the screen.
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Evaluating a Definite Integral Return to Top