Math 115  Lab   M. Flashman
Tuesday June 10th, 2003 11:00-12:20
• On-line help: Al Lehnen has prepared a detailed guide to Winplot
• Initial examples:
• Plot a function :explicit... y = f (x)...
• f(x) = x sin(x)
• f(x) = 2x-4
• f(x) = x^2 - 4
• f(x) = x^3 - 2
• Plot a point : Point...
• (1,3)
• (a,b), (a, a^2), (a, f(a))
• Anim Menu: A, B, C, ...
• slider
• set L and R
• autorev & autocyc
• library: for reference.
• User functions...
• The Inventory : Inventory... Ctrl  I
• Table
• Params
• family
• Slider...
• function choice
• the "slider" [used for tracing and finding values of f(x).]
• mark point- added to inventory!
• secant demo: select base point, slope
• Zeros...   Save as...
• Extremes... Save as...
• Plot a list...
• Meetings...
• Combinations
• arithmetic
• composition: (f(g(x))    f <- g   f = top g=bottom

Demonstration of  Mapping figures   tfigwvel.wp2

• Compare:
• graph of x3  with graph of 2x3
• graph of x2 with graph of 3x2
• graph of x2 with graph of (x+1)2
• graph of x3  with graph of (x+1)3
• Graphs of x2 Discuss how each constant  A, B, and C effects the graph.[>1, >0, <0.]
• f(x)= Ax2  Use animator; family
• f(x)=(Bx)2  Use animator; family.
• f(x)=x2+ C  Use animator; family
• f(x)=(x+C)2 Use animator; family
• f(x)= A(Bx+C)2 Use animator; family.

•
• Graphs of x3Discuss how each constant  A, B, and C effects the graph.[>1, >0, <0.]
• f(x)= Ax3  Use animator; family
• f(x)=(Bx)3  Use animator; family.
• f(x)=x3+ C  Use animator; family
• f(x)=(x+C)3 Use animator; family
• f(x)= A(Bx+C)3 Use animator; family.