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Chapter 3: Graph & Table Application
113
3. To obtain other roots, press the left or
right cursor key, or tap the left or right
graph controller arrows.
• If there is only one solution, the pointer
does not move when you press the
cursor key or tap the graph controller
arrow.
The following are examples for other G-Solve commands.
0307
To obtain the point of intersection for two graphs
y
=
x
+ 1 and
y
=
x
2
0308
To determine coordinates at a particular point on a graph
0309
To graph the function
y
=
x
(
x
+ 2)(
x
– 2) and obtain its definite integral in the domain of 1
s
x
s
2
0310
To graph the function
y
=
x
3
– 1 and determine its inflection point
0311
To graph the function
y
=
x
2
–
x
– 2 and obtain the volume of a solid of revolution as the line segment
from
x
= 1 to
x
= 2 is rotated on the
x
-axis
3-7
Modifying a Graph
A graph can be modified in real time as you change its coefficients and/or variable values. The Graph & Table
application provides you with two methods for modifying a graph.
• “Direct Modify” changes the coefficient in the equation of the original graph. This method can be used when
you are modifying a single graph.
• “Dynamic Modify” changes the values assigned to common variables of multiple functions. Use Dynamic
Modify when you want to modify multiple graphs at the same time.
u
To modify a single graph (Direct Modify)
0312
To graph the functions
y
= 2
x
2
+ 3
x
– 1 and
y
= 2
x
+ 1, and then find out how a change in the
coefficients of each function affects the shape and position of the graphs
u
To modify multiple graphs simultaneously (Dynamic Modify)
0313
To graph the functions
y
=
ax
2
–
b
and
y
=
ax
+
b
, and then find out how a change in variable
a
from 1 to
4 and a change in variable
b
from –2 to 2 affect the shape and position of each graph