ap calculus
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AP CALCULUS
1001 TI-89 pt.3
IV. Graphing• Preliminaries
– 1. Define a function• [<>] [F1] y =
– 2. Viewing Window• [<>] [F2] Window
– 3. Graph Menus• [<>] [F3] GRAPH
F2 Zoom F6 Style F4
– 4. Alternate Paths• [F4]• [APPS]
Four Requirements:
4 23 2y x x x= - +3 2.01 .3 .2 4y x x x= - + +
Graph using an appropriate window.
(End Behavior, Roots, Max/Min)
Evaluate.
Find roots ( zeros, x-intercepts)
Find intersections
2 2
2
81
81
x y
y x
+ =
=± -21 81
2 1( )
y x
y y x
= -
=-
Zeros
Graph
[F5] Math#2: Zero
31 3 1y x x
Graph
[F5] Math #5:Intersection
31
2
3 1
3
y x x
y x
Intersection
Draw Inverse:( )3 1( ) ( 2) 1If f x x graph f x-= - +
Graphing by finding the Inverse.
Draw Inverse Function: [<>][F3] [F6] #2: DrawInv
[F6] #1: ClrDraw
3 26 12 7x y y y= - + -
EXAMPLE:
Job A pays $40,000 and promises a 4% annual raise. Job B pays $30,000 and promises a 6% annual raise.
When will the two jobs pay the same? When will Job B pay more?
---------------------------------------------------------------40,000(1.04)nA
30,000(1.06)nB
EXAMPLE (cont):Graph
Find an appropriate Window.Find the Intersection.Answer.
40,000(1.04)
30,000(1.06)
n
n
A
B
TRY: nSolve(y1(x)=y2(x),x)
Graph
[MODE]
Split Screen Left-Right
Split 1 App Graph
Split 2 App Table
31
2
3 1
3
y x x
y x
Split Screen
Regression on the 89[APPS]
#6:Data/MatrixEditor 3: New
Variable : pressure <E> <E>
Enter the data into C1 and C2
[F2]:Plot Setup
[F1]
x c1
y c2 <E> <E>
[<>] [F2]
[F2]:zoom #9:ZoomData
Age Blood Pressure
35 128
24 108
48 140
50 135
34 119
55 146
Regression on the 89 cont.[APPS]
#6:Data/MatrixEditor 1: Current
[F5] : Calc
Type #5: LinReg <E>
x c1
y c2
Store to y1(x) <E>
[<>] [F1] Y =
[<>] [F3] GRAPH
Age Blood Pressure
35 128
24 108
48 140
50 135
34 119
55 146
Answer the following :
(a). Estimate the Blood Pressure of a person of age 40.
(b). Estimate the age of a person with Blood Pressure 143.
Last Update:
8/28/07
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