106 Activities
3. Use the abs( ) function to find the absolute
value of
f(x+yi).
(This calculation may take about 2 minutes.)
Note: The absolute value of a function
forces any roots to visually just touch rather
than cross the x axis. Likewise, the absolute
value of a function of two variables will
force any roots to visually just touch the
xy
plane.
4. Copy and paste the last answer to the entry
line and store it in the function
z1(x,y).
Note: The graph of z1(x,y) will be the
modulus surface.
5. Set the unit to 3D graph mode, turn on the
axes for graph format, and set the Window
variables to:
eye= [20,70,0]
x= [
L2,2,20]
y= [
L2,2,20]
z= [
L1,2]
ncontour= [5]
6. In the Y=Editor, press:
@8Í
and set the Graph Format variables to:
Axes= ON
Labels= ON
Style= HIDDEN SURFACE
Note: Calculating and drawing the graph
takes about three minutes.
7. Graph the modulus surface.
The 3D graph is used to visually display a
picture of the roots where the surface
touches the xy plane.
8. Use the Trace tool to explore the function
values at
x=1 and y=0.
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