EL-9650/9600c/9450/9400 Graphing Calculator

Solving Absolute Value Equations

The absolute value of a real number x is defined by the following:

x =

x if x

0

 

-xif 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

Before There may be differences in the results of calculations and graph plotting depending on the setting. Starting Return all settings to the default value and delete all data.

Step & Key Operation

Display

Notes

(When using EL-9650/9600c)

(When using EL-9650/9600c)

 

*Use either pen touch or cursor to operate.

 

 

1Enter y = 5 - 4x for Y1. Enter y = 6 for Y2.

Y= MATH B * 1 * 5 4

X//T/n ENTER * 6

2View the graph.

GRAPH

3Find the points of intersection of the two graphs and solve.

2nd F CALC 2 *

2nd F CALC 2 *

There are two points of in- tersection of the absolute value graph and the hori- zontal line y = 6.

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.

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Sharp EL-9600c, EL-9400, EL-9650 manual Solving Absolute Value Equations, Solve an absolute value equation 5 4x =

EL-9650, EL-9600c, EL-9400 specifications

The Sharp EL-9400 and EL-9450 are advanced programmable scientific calculators designed for professionals and students alike. Renowned for their versatile functionality and user-friendly interface, these calculators are popular in the fields of engineering, mathematics, and the sciences.

One of the hallmark features of the EL-9400 and EL-9450 is their extensive range of built-in functions. These calculators allow users to perform a variety of mathematical operations, including basic arithmetic, statistical calculations, complex number operations, and calculus functions. They support both decimal and fraction calculations, making them suitable for diverse mathematical applications.

Both models come equipped with a large, easy-to-read display, enhancing user experience by allowing for clear visibility of numbers, symbols, and results. The display is particularly beneficial when working with extensive calculations or graphical representations, as it helps users track their inputs and outputs with ease.

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With their advanced graphing capabilities, these calculators allow users to plot functions and analyze their behavior over a defined range. The graphing feature is user-friendly, offering options to zoom in and out, providing a better understanding of mathematical concepts and aiding in visualization.

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In terms of durability, the Sharp EL series is designed to withstand the rigors of academic and professional environments. These calculators are built with high-quality materials, ensuring longevity and reliability during extensive use.

Overall, the Sharp EL-9400 and EL-9450 stand out as powerful tools for anyone needing a reliable computing resource. Their combination of programmable features, comprehensive function sets, and user-friendly design makes them invaluable assets for students and professionals engaged in advanced mathematics and scientific calculations. With these calculators, users are equipped to tackle challenges and explore complex mathematical concepts with confidence.