1. So you don’t know how to use a TI-89…
Rita Korsunsky

2. Helpful Facts
MODE
To change the graph format, go to “Graph…”- You can change the format to Function, Parametric, Polar, or Diff Equations.
Make sure to have your “Angle…” set to Radians in order to graph trig. functions
Exact/Approx: Approximate will give you decimal approximations while exact produces answers as fractions or in terms of other expressions
To make the window squared, go to F2 , Zoom Squared.

3. To change the graph order (to get to simultaneous mode )
go to “WINDOW”
go to F1-Tools
Select #9: Format
Graph order (SEQ => SIMUL)

4. Helpful Facts Absolute Value: Press 2nd and 5 [Math], Number, abs
Factorial (!): Press and
Logarithmic:
1. Press CATALOG key.
2. Press the 2nd and alpha keys
3. Press 4 to get to the L options
4. Scroll down to “log(” and press enter to insert it.
Don’t forget to close all parenthesis!

5. Using the F2 Function
Press “F2” for the algebra menu. The “solve(” function would automatically be highlighted. Press “Enter” (or the “1”) button to insert the function.

6. F2 Solve Solve : Format is Solve(equation=#, x)
Example: Solve (x2+2x-3=8,x)
Zeros: This will give you the same results as solve, the difference is that with the zero function, you must have your equation=0
Answer: x= or x=

7. Solve Continued
By setting the equation to 0, roots will be displayed if they exist. Make sure to scroll through ALL roots. If no solutions, “false” will be displayed.
Example: x3+ 3x2-5x-8=0
Roots: x = or x = or x =

8. F2 continued Factor/Expand : Format is Factor(equation=0)
Expand((x-3)(x+5))
Example: factor (y2 -4=0)
Answer: (y+2)(y-2)

9. F3 Calc. Functions Differentiate: Format is d (f(x) ,x)
i.e. d (x2+2,x)
Example: On calc.:
Answer:

10. Differentiation at the Point
To Differentiate y=f(x) at x=2
Graph y=f(x)
View graph
Press F5
6 for derivative
dy/dx
Enter
Plug in 2 for x

11. (F3) Integrate: Indefinite Integral:  Format on calc. is: 

12. Integration Examples Example: On calculator: Answer:

13. The Graph To add a graph, go to ‘Y=‘ (Diamond + F1)
Be sure to press enter after inputting the equation!
You can add multiple graphs (y1, y2, etc.)

14. The Graph (contd.)
To set the bounds of the graph, go to ‘Window’ (Diamond + F2)
xmin, xmax, ymin, ymax =
bounds of the graph
xscl, yscl = interval of
tick marks on the axes
Go to ‘Graph’ (Diamond + F3) to view graph

15. Zooming Press “” and F3 to view the graph Press F2 “Zoom”
3. ZoomOut
Move the cursor to where
you want to zoom in/out
Press enter

16. Tracing a Graph Press Diamond + F3 to view your graph Press F3 ‘Trace’
Press Left and Right to move along graph
Press Up and Down to switch graphs
Use 2nd + Left/Right to move faster

17. The Graph (contd.)
This method can be used to find maximums, minimums, zeros, and intersection points
Example: Finding Zeroes
Zero: From the Y= menu ( F1),, press “” and “F3” to graph.
When the graph is finished graphing, press “F5,” then scroll down to “2: Zero” and press “enter. ” (Max., Min., and Intersection are also options)

18. The Graph (contd.)
Select a lower boundary (any point left of the zero) by using your left and right arrows to move along the graph and press “enter.” Then select an upper boundary (any point right of the zero) and press “enter”. The zero is then displayed.
Example: , Find Minimum.
Solution: Minimum at (1,-1)

19. Intersection Points Press “” and F3 to view graph
F5 ‘Math’ -> 5. Intersection
Select the two graphs that intersect
Select the lower/upper boundary like before
Example: ,
Find intersection points (2).
Solution: (-1.646, ), (3.646, 3.646)

20. Generating a Table for Polar Equations
MODE: Change Graph Mode to Polar
Press and F1 (Y=) Enter equation under r1
Press and F4 (TblSet) and input your initial under tblStart and the under
and F5 to view the table

21. Polar Equation Example
Solution:
Press F1
On the Y= Menu,
Press F4, F5
to view the table
On TblSet:
tblStart = 0,  r
.7854
1.414
1.571 2
2.356
When  =2.356, r=1.414

22. Euler’s MODE: Change Graph Mode to Diff. Equations
Press and F1 (Y=) Enter initial x condition under t0= and initial y under yi1=
Use t for x and y1 for y when inputting the differential equation
While still on the Y= page, press F1 and scroll down to 9: Format, press enter
Scroll down to Solution Method and choose Euler
Press F2 to go to the Window Page. Change the tstep to your
Press and F4 (TblSet) and input your initial x under tblStart and the under
and F5 to view the table

23. Euler’s Example Example: Solution: On the Y= Menu, When x=2.5, y=-5 t1 4
1.5 -2 2
2.5 -5
When x=2.5, y=-5

24. Special Functions Graphing Parametric: Graphing Polar:
1) Mode Graph Parametric
Remember: The functions are x(t) and y(t) not y(x)
Graphing Polar:
1) Mode Graph Polar
2) Mode Complex Format Polar
Remember: Press [Enter] to save
Remember: Use Theta , not x

25. THE END! Happy Calculating!