Chapter 3: Graph & Table Application 115
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 parameters and/or variable values. The Graph & Table
application provides you with two methods for modifying a graph - “Direct Modify” and “Dynamic Modify”.
Modifying a Single Graph (Direct Modify)
“Direct Modify” changes the parameter in the equation of the original graph. This method can be used when
you are modifying a single graph.
0312 To graph the functions
y = 2x
2
+ 3x – 1 and y = 2x + 1, and then find out how a change in the
parameters of each function affects the shape and position of the graphs
Modifying Multiple Graphs Simultaneously (Dynamic Modify)
“Dynamic Modify” changes the values assigned to common parameters of multiple functions. Use Dynamic
Modify when you want to modify multiple graphs at the same time.
u Inputting a Graph Formula for Use with Dynamic Modify
Example: To input the following formula with two common parameters (a, b):
y = ax
2
– bx and y = ax + b
1. On the Graph Editor window, tap [Type] - [y=Type].
2. Perform any one of the operations below.
- Input using built-in functions
(1) Tap a - [Built-In] - [
y=a
·
x^2+b
·
x+c] to input y = ax
2
+ bx + c.
(2) Edit the function you input (y = ax
2
+ bx + c) to it becomes y = ax
2
– bx,
and then press E.
(3) Tap the line below the function.
(4) Tap a - [Built-In] - [
y=a
·
x+b] to input y = ax + b and then press E.
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