user manual

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 = 2x
2
+ 3x – 1 and y = 2x + 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