Math 106 Lab M. Flashman
Monday September 8th, 2003 11:00-11:50
Starting- Download and unzip:
http://math.exeter.edu/rparris/winplot.html
On-line help:
Al Lehnen
has prepared a detailed
guide
to Winplot
Initial examples:
Equa
Menu
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
One
Function Menu
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 x
2
with graph of 3x
2
graph of x
2
with graph of (x+1)
2
Graph of
your SS
(
xxx-23-4xxx
)
quadratic functions:
f(x)= 2
x
2
- 3x -4; g(x)= -2
x
2
- 3x +4
Find intercepts, axis of symmetry, vertex point coordinates.
More on Graphs of
x
2.
Discuss how each constant A, B, and C effects the graph.[>1, >0, <0.]
f(x)= A
x
2
Use animator; family for A
f(x)=(Bx)
2
Use animator; family for B
f(x)=x
2
+ 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
Two
Function Menu
Meetings...
Combinations
arithmetic
composition: (f(g(x)) f <- g f = top g=bottom