1. Graphs of the Linear Function: Graphing Calculator TI-84 Plus
Presented by Victor Zinger
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2. Table of Contents Welcome TI-84 Plus Keyboard Dimensions of the screen
Exploring Y-screen and Table of values
Exploring Y-screen and Table of values(continue)
Example # 1
Solving Linear Equations Graphically
Example # 2
Linear Inequalities
Problem Solving Strategy
Applications of Linear Function: Line of the Best Fit
Line of the Best Fit
Thank You!

3. Welcome
My name is Victor Zinger. I am Professor of Mathematics at the University of Alaska Fairbanks. Mathematics is important for everyone’s career and success in their lives. Mathematics is language for all-let’s make it understandable!

4. TI-84 Plus Keyboard Lower center (white keys): Arithmetic Keys
Lower Right (gray keys): Basic Operations
Lower Left (black keys): Basic Functions
Top Row: (gray keys): Display Keys
Next Three Rows: Special Program Keys
Middle Row: (black keys): Trig. and Inverse Trig. Functions

5. Dimensions of the screen
Press the WINDOW key (top row) to see the Window Screen shown to the right: This shows that the dimensions of the graphing window are: -4.7 < x < 4.7 and -3.1 < y < Also, the tick marks are spaced by 1 unit on each axis Using the ARROW keys to move the blinking cursor, change the screen dimensions to: -1 < x < 5 and -2 < y < 10

6. Exploring Y-screen and Table of values
Use the MODE key to select the "Func" mode of function entry.
Use the Y= key to select (or enter fresh) for example function: Y2=2x+1
Press the 2nd key, then the WINDOW key (= Tblset).
Edit the Table Setup Window as shown to the right.
Video clip

7. Exploring Y-screen and Table of values
Press the 2nd key then the GRAPH key (= TABLE key) to see the table of values to the right. These are the values of the functions y1=3x*2^(-x) and y2=2x+1.
Use the Up and Down ARROWS to scroll through the values.
Press the 2nd key, then the WINDOW key (= Tblset). Note that the TblMin value is the the topmost x-value displayed on the table.
Edit the Table Setup values to TblMin=-2 and (delta)Tbl=1. Press 2nd then GRAPH. .

8. Example # 1 Solving a system of linear equations: TI-84 Plus:
1. Press "Y=" 2. Enter both equations, solved for Y 3. Press "GRAPH" 4. If all intersection points are not visible, press "ZOOM" then 0 or select "0: ZoomFit" 5. Press "2nd" then "TRACE" 6. Press 5 or select "5: intersect" 7. Move the cursor to one of the intersection points. (There may be only one) Each of these points represents one solution to the system. 8. Press "ENTER" three times 9. The coordinates of the intersection are shown at the bottom of the screen

9. Solving Linear Equations Graphically
Solve the equation:
10000 = (x – 1950)
 STEP 1: Set Y1 equal to the left side of the equation and set equal to the right side of the equation.
STEP 2: Graph Y1 and Y2 in the same viewing rectangle. 
STEP 3: Locate any points of intersection.  The x-values of these points correspond to the solutions to the equation.
STEP 4: Press 2nd TRACE[CALC], then press 5 to select intersect.
TI -84 Tutorial

10. Example # 2
Instruction: Notice the "shade below" symbol to the far left of the Y1.
Again, you must determine whether to draw a solid or dotted line.  This problem uses a dotted line because it is strictly "less than" (no "equal to").
Solve linear inequality

11. Linear Inequalities Graph Enter 2x + 1 into Y1
Arrow to the far left side of Y1
Press ENTER until the "shade above" symbol is displayed.
Press ZOOM #6 ZStandard (for a 10x10 window)
Graph
NOTE:  You will have to determine whether to draw a solid line or a dotted line for  y = 2x + 1.  This problem uses a solid line because of the "less than or equal to" sign.  The calculator will display a solid line at all times.

12. Problem Solving Strategy
Understand
Plan
Write Equation
Solve
Check
Algebraic Problem

13. Applications of Linear Function: Line of the Best Fit
Problem: “Maximum Heart Rate” A person who is exercising should not exceed his or her maximum heart rate, which is determined on the basis of that person’s sex, age, and resting heart rate. The following table relates resting heart rate and maximum heart rate for a 20-year-old man.
Use a graphing calculator to model the data with a linear function.
Resting Heart Rate, H (In Beats Per Minute
Maximum Heart Rate, M (In Beats Per Minute 50
166 60
168 70
170 80
172
Link to Tutorial

14. Line of the Best Fit

15. Thank You and Good Luck!