Math 106  Lab   M. Flashman
Monday September 8th, 2003 11:00-11:50
• On-line help: Al Lehnen has prepared a detailed guide to Winplot
• Initial examples:
• Plot a function :explicit... y = f (x)...
• f(x) = 2x-4
• f(x) = x^2 - 4
• f(x) = x^3 - 2

•
• joinx(f|c,g|d,...,h)

• means
y = f(x) for x <= c,
y = g(x) for c < x <= d,
..., and
y = h(x) for remaining x-values.

For example, try graphing y = joinx(x+1|0,1-x^2|2,-1).

• Plot a point : Point...
• (1,3)
• (a,b), (a, a^2), (a, f(a))
• Plot a line:

• aX + bY = c  ;
For a vertical line a=1, b=0, c=?
• side trip to the 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...
• Compare:
• graph of x2 with graph of 3x2
• graph of x2 with graph of (x+1)2

• f(x)= 2x2 - 3x -4;     g(x)= -2x2 - 3x +4
• Find intercepts, axis of symmetry, vertex point coordinates.
• More on Graphs of x2.

• Discuss how each constant  A, B, and C effects the graph.[>1, >0, <0.]
• f(x)= Ax2  Use animator; family for A
• f(x)=(Bx)2  Use animator; family for B
• f(x)=x2+ C  Use animator; family for C
• f(x)=(x+D)2 Use animator; family for D
• f(x)=D + A(Bx+C)2 Use animator; families