Sharp EL-9650 - Graphing Polynomials and Tracing to Find the Roots

EL-9650/9600c Graphing Calculator
* * * *
Graphing Polynomials and Tracing to Find the Roots
A polynomial y = f (x) is an expression of the sums of several terms that contain different
powers of the same originals. The roots are found at the intersection of the x-axis and
the graph, i. e. when y = 0.
Draw a graph of a polynomial and approximate the roots by using the Zoom-in
and Trace features.
1. Graph the polynomial y = x
3
- 3x
2
+ x + 1.
2. Approximate the left-hand root.
3. Approximate the middle root.
4. Approximate the right-hand root.
Enter the polynomial
y = x
3
- 3x
2
+ x + 1.
Enter the coefficients.
1-1
1-2
Example
* *
*
Return to the equation display
screen.
1-3
View the graph.
1-4
4-1
NotesStep & Key Operation
*Use either pen touch or cursor to operate.
Display
○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○
It may take few seconds for
the graph to be drawn.
Enter each coefficients when
the cursor is displayed.
GRAPH
Y= EZ
5
1
1
3
1
2nd F EXE
ENTER ENTER ENTER
ENTER
ENTER
ENTER
ENTER
(
-
)
2nd F SUB
Before
Starting
There may be differences in the results of calculations and graph plotting depending on the setting.
Return all settings to the default value and delete all data.
Set the zoom to the decimal window:
*
(
*
)
*
Setting the zoom factors to 5 :
*
A ZOOM
ZOOM B
7
55 2nd F QUIT
ENTER
ENTER ENTER ENTER
ALPHA