1. TI-84 Graphing Calculator
Basic Computations
Graphing Navigation
Graphing Tools
Statistics and Algebraic Models

2. First… Clear Memory Degree Mode 2nd, MEM, Reset: all RAM, ENTER
MODE, Degree, ENTER,
2nd, QUIT

3. Basic Computations
Example:
Answer:
Looks Like:

4. Graphing Navigation… Typing Equations
Always set your equation equal to zero
Use the correct syntax (see Basic Computations)
Turn off Plots
2nd, STAT PLOT, 4:Plots Off, ENTER

5. Graphing Navigation… Viewing Window
To display x:[-10, 10]; y:[-10, 10]
* ZOOM 6: Standard
To show all points on a scatter plot
* ZOOM 9: Stat
To show entire graph on the screen
* ZOOM 0: Fit
To zoom in/out from the center of the screen
* ZOOM 2: Zoom In * ZOOM 3: Zoom Out
* Best option…learn to use the WINDOW to manually edit the length of the x-axis and y-axis

6. Graphing Navigation… Viewing Window Example:
* Graph x3 – 1.1x2 – 65.4x = – 229.5
x:[4.95, 5.15]; 0.05
y:[–0.1, 0.1]; 0.01
Does the graph have any zeros?

7. Graphing Tools… Calculating Extrema (minimum/maximum) 2nd, CALC
3:minimum or 4: maximum
LB, ENTER, RB, ENTER, Guess?, ENTER
x = (where it occurs)
y = min/max value

8. Graphing Tools… Finding Zeros/Roots (x-intercepts, solutions)
2nd, CALC
2: zero
LB, ENTER, RB, ENTER, Guess?, ENTER
x = (where it occurs)
y = 0

9. Graphing Tools Locating Points of Intersection (two graphs) 2nd, CALC
1st curve, ENTER, 2nd curve, ENTER, Guess?, ENTER

10. Practice: x4 – 7x2 + 6x * zeros: –3, 0, 1, 2 * max: (0.456, 1.323)
* Find the zeros, maximum, and minimums:
x4 – 7x2 + 6x
* zeros: –3, 0, 1, 2 * max: (0.456, 1.323)
* min: (–2.056, –24.057)
* min: (1.601, –1.766)
x3 – 4x2 – 7x + 10
* zeros: –2, 1, 5 * max: (–0.694, )
* min: (3.361, –20.745)
10x x2 – 54.85x
* zeros: -3, 1.1, * max: (–1.625, )
* min: (1.125, –0.026)

11. Statistics and Algebraic Models…
Scatter Plots
* Plotting Points
Clear Y=
Turn on Plot 1: 2nd, STAT PLOT, 1, ON, ENTER
Enter ordered pairs: STAT – 1:Edit
Enter x-coordinates for L1
Enter y-coordinates for L2
ZoomStat to view graph

12. Statistics and Algebraic Models
Lines of Best Fit
STAT – CALC
Choose type of equation:
4: Line
5: Quadratic
6: Cubic
7: Quartic
Type L1, L2, Y1
-Use the 2nd button to type L1 and L2
-Don’t forget the comma
-To find Y1 press VARS, Y-VARS, 1:Function, 1: Y1
Press ENTER
The algebraic model is shown on the graph, and the equation is located in Y1

13. Example: * Make a scatter plot of the data:
* Find a linear model, quadratic model, cubic model
Linear Equation: y = 0.572x
Quadratic Equation: y = 0.059x2 – 0.617x
Cubic Equation:
y = –0.0124x x2 – 3.269x x 5 10 15 20 y
10.1
2.8
8.1
16.0
17.8

14. Life Expectancy (years)
Make a 2 scatter plots of the data:
* Men: Plot 1
* Women: Plot 2
* set x = 0
to represent
the year 1970
* Find a quadratic model and cubic model for the data
* Which model best fits the data?
* What is the life expectancy for men & women in 2020?
Life Expectancy (years)
Year of Birth
Men
Women
1970
67.1
74.7
1980
70.0
77.4
1990
71.8
78.8
2000
73.2
80.2
2010
74.5
81.3

15. Find the minimum, maximum, and zeros of each function.
Then find the point(s) of intersection of the functions.
The table shows U.S. energy production for a number of years.
Find a linear model, a quadratic model, a cubic model, and a quartic model for the data. Let x = 0 represent 1960.
Graph each model. Which one is the better fit?
Use each model to determine the current energy production.
Which model has the most reasonable answer?