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# Evaluating functions with ti 83 84

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### Evaluating functions with ti 83 84

2. 2. Enter the function. Cursor to any empty Y= slot. Press [(] [x,T,θ,n] [^] [3] [−] 1 [)] [÷] [(] [x,T,θ,n] [−] 1 [)] [ENTER].You may be using a different function number, but make sure your entrylooks like my Y3. If you made a mistake, go back and edit it.Method 1: Table of ValuesThis method works strictly by numbers. Press [2nd WINDOW makes TBLSET].The irst two rows don’t matter. Press [▼] [▼] to get to the “Indpnt” row. This controls the independent variable x. Press [►] [ENTER] to select “Ask.” Press [▼] [ENTER] to select “Depend: Auto.”Your top two rows may be different, but your bottom two rows will looklike the screen at right. These settings tell the TI‐83/84 to ask you forvalues of the independent variable x, then automatically calculate thevalues of the dependent variable f(x).Now you can evaluate the function at Press [2nd GRAPH makes TABLE].selected x values. You may see some values on the table screen. They don’t do any harm, but if you want you can get rid of them by hitting [DEL] several times.Enter the x values, one at a time. For Enter each x number and press [ENTER]. The TI‐83/84instance, to home in on the limit as x immediately displays the function value.approaches 1, we might enter .5, .75, .9,.99, and so on. 2 of 4
3. 3. Method 2: Trace on the GraphThis method is a little more work, but you get a picture of the function. Start by entering the function onthe Y= screen as shown above.Set formatting so that the desired Press [2nd ZOOM makes FORMAT].information will appear on your graph. The other settings are not critical, but you need CoordOn and ExprOn. Press the arrow keys and [ENTER] to set the modes.Either set up the Window screen, or use Press [ZOOM] [6] to select ZoomStd. The graph should appear“Zoom Standard” for a irst look at the (below left).graph. It happens that we want the limitas x goes to 1. Since that its within the Press [TRACE], then an x value, then [ENTER]. You should seestandard window, we’ll use Zoom the function, the x value, and the y value displayed (belowStandard this time. right).Enter any other values, such as .99, .995, You don’t have to press [TRACE] again. Simply enter each new.999. The dot will move along the graph, x value, followed by [ENTER].and the new y values will be displayed. 3 of 4
4. 4. For this function it’s not an issue, but for other functions if your x value is outside the window, you needto press [WINDOW] and adjust Xmin or Xmax. You can only trace x values that are between Xmin andXmax.This page is used in instruction at Tompkins Cortland Community College in Dryden, New York; it’s not an of icialstatement of the College. Please visit www.tc3.edu/instruct/sbrown/ to report errors or ask to copy it.For updates and new info, go to http://www.tc3.edu/instruct/sbrown/ti83/ 4 of 4