Processing math: 100%

TI-84 Calculator

Graphing a Function

  1. Press y= to open the Y= editor.

  2. Input the function.

  3. Press window to input window settings.

  4. Press graph to display the graph.

  5. To evaluate the function at a given value of x while the graph is displayed, press trace and then input the given value of x. Then press enter.

Graphing a piecewise-defined Function with Two Pieces

  1. Press y= to open the Y= editor.

  2. Input the two pieces of the piecewise-defined function separately by entering the functions enclosed in parentheses as numerators and the domains of the functions enclosed in parentheses as denominators, as follows. In the Y1= field, input a left parenthesis, the first function, a right parenthesis, a division bar, a left parenthesis, and then X.

  3. Press 2nd, then math to open the TEST menu. Scroll down to the desired inequality symbol for the domain of the first function.

  4. Press enter, input the rest of the inequality to express the domain of the first function, and then input a right parenthesis.

  5. In the Y2= field, repeat Steps 2, 3, and 4 to input the second piece of the piecewise-defined function and its domain.

  6. Press graph to display the graph.

Graphing a piecewise-defined Function with Three Pieces

  1. Press y= to open the Y= editor.

  2. Input the three pieces of the piecewise-defined function separately by entering the functions enclosed in parentheses as numerators and the domains of the functions enclosed in parentheses as denominators, as follows. In the Y1= field, input a left parenthesis, the first function, a right parenthesis, a division bar, a left parenthesis, and then X.

  3. Press 2nd, then math to open the TEST menu. Scroll down to the desired inequality symbol for the domain of the first function.

  4. Press enter, input the rest of the inequality to express the domain of the first function, and then input a right parenthesis.

  5. In the Y2= and Y3= fields, repeat Steps 2, 3, and 4 to input the second and third pieces of the piecewise-defined function and their domains. Break up any double inequality into two separate inequalities, and input each separate inequality enclosed in parentheses. For example, input 0≤x<2 as (0≤x) (x<2)

  6. Press graph to display the graph.

Graphing: Setting Window Parameters

  1. Press y= to open the Y= editor.

  2. Input the function.

  3. Press window to input window settings.

  4. Press graph to display the graph.

  5. If necessary, repeat Step 3 to adjust the window settings to get a better view of the graph and then repeat Step 4 to display the graph.

Graphing: Zooming In

  1. Press y= to open the Y= editor.

  2. Input the function or functions that you wish to graph.

  3. Press window to input window settings.

  4. Press graph to display the graph.

  5. Press zoom to open the ZOOM menu, and scroll down to 2:Zoom In.

  6. Press enter as many times as desired to zoom in on graph.

  7. Press graph to display the graph.

Least-Squares Curve Fitting

  1. Press stat to open the STAT EDIT menu and select 1:Edit….

  2. Press enter. Input the values of the independent variable in column L1, and input the corresponding values of the dependent variable in column L2.

  3. Press stat, then ► to open the STAT CALC menu. Scroll down to 4:LinReg(ax+b).

  4. Press enter. Press 2nd, then 1 to input L1 in the Xlist: field. Scroll down to the Ylist: field and press 2nd, then 2 to input L2. Scroll down to Calculate.

  5. Press enter to calculate the slope a and y-intercept b of the best-fitting line for the data.

Visualizing Limits

  1. Press y= to open the Y= editor.

  2. Input the function whose limit you wish to visualize.

  3. Press window to input window settings. Be sure the interval of x-values for the viewing window includes the value that the independent variable approaches in the limit.

  4. Press graph to display the graph.

  5. Press window to input new window settings.

  6. Press graph to display the graph in the new viewing window. Use caution when trying to determine the value of a limit by inspecting graphs of a function. This may or may not lead to a correct guess for the limit, depending on the viewing window specified for each graph.

Predicting Limits

  1. Press y= to open the Y= editor.

  2. Input the function whose limit you wish to predict.

  3. Press window to input the window settings.

  4. Press graph to display the graph.

  5. Press 2nd, then window to display the TABLE SETUP screen. Scroll down to the Indpnt: field, press ► to scroll to Ask, and press enter.

  6. Press 2nd, then graph to display the table. Input values in the X column that approach the value that the independent variable approaches in the limit. The calculator will generate corresponding values of the function in the Y1 column.

Finding Roots of an Equation of the Form f(x)=0

  1. Press y= to open the Y= editor.

  2. Input the function, with x as the variable.

  3. Press window to input window settings.

  4. Press graph to display the graph.

  5. Press 2nd, then trace to open the CALCULATE menu, and scroll down to 2:zero.

  6. Press enter.

  7. Press ◄ as many times as desired to move to any position to the left of the desired root, which is an x-intercept on the graph. This is the lower bound of the interval for x.

  8. Press enter to set the lower bound chosen in Step 7.

  9. Press ► as many times as desired to move to any position to the right of the desired root. This is the upper bound of the interval for x.

  10. Press enter to set the upper bound chosen in Step 9.

  11. Press ◄ as many times as desired to move to a position within the specified interval for x that is close to the desired root.

  12. Press enter. The calculator will display the root of the equation that occurs within the specified interval for x.

Evaluating a Definite Integral

  1. Press math, then scroll to 9:fnInt( and press enter.

  2. Input the lower limit of integration and press ▲, input the upper limit of integration and press ►, input the integrand function and press ►, and then input X. Then press enter to evaluate the integral.

Graphing Parametrically Defined Curves

  1. Press mode, use the arrow keys to scroll to PARAMETRIC and press enter.

  2. If necessary, change the Angle mode to the units (RADIAN or DEGREE) you want to use for t.

  3. Press y= to open the Y= editor.

  4. Input the desired parametrized formulas for x and y into the X1T= and Y1T= fields, respectively.

  5. Press window to input window settings.

  6. Press graph to display the graph.

  7. When you are finished graphing parametrically defined curves, press mode, scroll down to FUNCTION, and press enter. This changes the graphing mode back to the default setting for function graphing.

Graphing Polar Equations

  1. Press mode, use the arrow keys to scroll to POLAR, and press enter.

  2. If necessary, change the Angle mode to the units (RADIAN or DEGREE) you want to use for θ.

  3. Press y= to open the Y= editor.

  4. Input the expression for r.

  5. Press window to input window settings.

  6. Press graph to display the graph.

  7. Press zoom to open the ZOOM menu, and scroll down to 0:ZoomFit.

  8. Press enter.

  9. When you are finished graphing polar equations, press mode, scroll down to FUNCTION, and press enter. This changes the graphing mode back to the default setting for function graphing.

Graphing Conic Sections in Cartesian Coordinates

  1. Solve the Cartesian equation of the conic section for y.

  2. Press y= to open the Y= editor.

  3. Input the solutions found in Step 1 into the Y1= and Y2= fields. (Note that if the conic section is a parabola that opens up or down, then there will be only one solution to input into the Y1= field.)

  4. Press window to input window settings.

  5. Press graph to display the graph.