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EL-9650/9600c/9450/9400 Graphing Calculator
8-3
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.
NotesStep & Key Operation
(When using EL-9650/9600c)
*Use either pen touch or cursor to operate.
Display
(When using EL-9650/9600c)
Solving Absolute Value Equations
The absolute value of a real number x is defined by the following:
|x| = x if x
≥
0
-x if x
≤
0
If n is a positive number, there are two solutions to the equation |f (x)| = n because there
are exactly two numbers with the absolute value equal to n: n and -n. The existence of two
distinct solutions is clear when the equation is solved graphically.
Example
Solve an absolute value equation |5 - 4x| = 6
1
Enter y = |5 - 4x| for Y1.
Enter y = 6 for Y2.
*
*
*
2
View the graph.
There are two points of in-
tersection of the absolute
value graph and the hori-
zontal line y = 6.
3
Find the points of intersection of
the two graphs and solve.
The solution to the equation
|5 - 4x|= 6 consists of the two
values -0.25 and 2.75. Note
that although it is not as intu-
itively obvious, the solution
could also be obtained by
finding the x-intercepts of the
function y = |5x - 4| - 6.
*
*
The EL-9650/9600c/9450/9400 shows absolute values with | |, just as written
on paper, by using the Equation editor. The graphing feature of the calculator
shows the solution of the absolute value function visually.
GRAPH
Y=
MATH
B1
54
6
2
2
2nd F CALC
2nd F CALC
ENTER
—
X/
/T/n
Before
Starting