MS Excel

2013Term 1 Week 7Math PS Graphing CalculatorWhat you will be doing in this courseOutline of courseIntroductionFamiliarize yourself with the graphing calculators and its features

Cheat Sheet

Cheat Sheet

Cheat Sheet

Cheat Sheet

End Products

Basic Skill: Reset RAMPress 2 ND +712

Basic Skill: Correct ModePress the MODE button

Windows DimensionPress WINDOW buttonSelect Maximum and Minimum x- and y- values

Y= KeyPress the Y= buttonWrite functions to create picturesUse your mathematical knowledgeYou can use up to 10 equations on the Y= screen

Restricting domainSometimes you may only require to graph a portion of the domainE.g. The function is y=x2 5 but it is only graphed for x1

Restricting domainType in the function in the parentheses, and divide the function by the restriction in the parenthesesE.g. y=(x2 5)/{x1}

The and symbols are found by hitting 2nd + MATH FunctionDomain

GC Individual Ex. 1McDonalds Sign

How many curves do you need?4 Curves

Step 1 - Equationsxy402What is the equation of this curve? 0y = - (x+2)2 + 8Step 1 - EquationsFind the equations & domains of ALL 4 curves and draw your McDonalds signTo help you, here are the WINDOW setting:

GC Ex. 1 SolutionEquationDescription1Y = -(X+2)2 + 8 /{X0}Top left curve2Y = -(X-2)2 + 8 /{X0}Top right curve3Y = -(2X+4)2 + 4/{X0}Bottom left curve4Y = -(2X-4)2 +4/{X0}Bottom right curveStep 2 - Turn off the axis2nd + ZOOM (FORMAT)

Step 3 - Shading2nd + PRGM (DRAW)7: Shade(Y3 ,Y1)Y1: bottom Y equation, Y3: top Y equation

Press VARS, move to Y-VARS menuPress 1: FunctionChoose the equation

Step 4: Enter text2nd + PGRM (Draw)0: TEXT(ALPHA followed by letters)

Step 5: Storing picture2nd + PGRM (DRAW)Use the arrow key to move to STO menu1: StorePicKey in a number from 1 to 9Press Enter

Step 6: Recalling picture2nd + PRGM (DRAW)Use the arrow key to move to STO menu2: RecallPicKey in the number where you store itPress Enter

Final product

GC Ex 2Try it on your own

TipsTo restrict domain on both sidesUse the and function2nd + MATH (TEST) Use your arrow key to move to LOGIC menu1: andE.g. -(X + 2)2 + 8/(X0) and (X10) TipsTo draw the SunEquation of the circle: X2 + Y2 = r2

Drawing a straight vertical lineVertical lines cannot be graphed in function modeHowever, a very steep line can be producedWhat is y=x?Now, what is y=50x?GC Ex 2 - TipsTry it on your own

Set 2 domainsEither use circle formula (make y the subject) or use 2 quadratic curvesTrigo FunctionUse a large gradient(i.e. m>94)SolutionsEquationDescription1.0.25x2 5 /{x-4 and x4}Bottom of the boat2.-1/{x-4 and x4}Top of the boat3.99x/{x>0.21and x0 and x5}Side of the mast6.cos(2x+2)-5Waves7.(0.92-(x-7)2)+7.5Top of sun8.-(0.92-(x-7)2)+7.5Bottom of sunPolar Coordinates in GCOr How to draw a batman logo or a butterfly with a single equation in GC?Polar CoordinatesTo set your graphic calculator to Polar CoordinatesMode > POL > [Enter]

Polar Coordinates You have now changed Cartesian coordinates to Polar coordinates. Press and you will see that y is no longer the subject but r.Explore the following curves using the GC

r = sin

r = SQRT[4cos2](leminscate)

r = 2sin3

r = cos(sin(tan()))Batman-like Logo

r = tan (tan()))Butterfly-like Figure

More at the sabbatical websitePast year winning entries(Theme: Space)

Appendix: FunctionsAppendix: FunctionsAppendix: Functions