Sharp EL9900 manual Math

Page 42

EL-9900 Graphing Calculator

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Notes

2-2Is x + y = x +y? Think about this problem according to the cases

when x or y are positive or negative.

If x 0 and y 0 [e.g.; (x, y) = (2,7)]

If x 0 and y 0 [e.g.; (x, y) = (-2, 7)]

If x 0 and y 0 [e.g.; (x, y) = (2, -7)]

If x 0 and y 0 [e.g.; (x, y) = (-2, -7)]

3-1

Evaluate

 

6-9

 

 

 

 

. Evaluate

 

 

6-9

 

.

 

 

 

 

 

 

 

1+3

 

 

 

 

 

1+3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

CL

 

MATH

 

1

 

 

 

 

a/b

6

 

9

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

 

+

 

 

3

 

 

ENTER

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

MATH

1

 

6

 

 

 

 

9

 

 

 

 

 

 

 

a/b

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

MATH

1

 

1

 

 

+

 

 

3

ENTER

 

 

 

3-2

Is x /y = x/y?

 

 

 

 

 

 

 

 

 

 

 

 

 

Think about this problem according

 

to the cases when x or y are positive

 

or negative.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

If x 0 and y 0 [e.g.; (x, y) = (2,7)]

If x 0 and y 0 [e.g.; (x, y) = (-2, 7)]

If x 0 and y 0 [e.g.; (x, y) = (2, -7)]

If x 0 and y 0 [e.g.; (x, y) = (-2, -7)]

x +y = 2 + 7 = 9

x+y = 2 + 7 = 9

x + y = x + y.

x +y = -2 + 7 = 5

x+y = -2 + 7 = 9

x + y x + y.

x +y = 2-7 = 5

x+y = 2 + -7 = 9

x + y x + y.

x +y = -2-7 = 9

x+y = -2 + -7 = 9

x + y = x + y.

Therefore x +y=x+ywhen x

 

 

 

0 and y 0,

and when x 0 and y 0.

 

 

 

 

 

 

 

6-9

 

 

= 0.75 ,

 

 

6-9

 

= 0 .75

 

 

 

 

 

 

 

1+3

 

 

 

 

 

 

 

 

 

 

 

 

 

1+3

 

 

 

 

 

 

 

 

 

 

 

6-9 = 6-9

1+3 1+3

x /y = 2/7 = 2/7

x/y = 2 /7 = 2/7

x /y = x / y

x /y = (-2)/7 = 2/7

x/y = -2 /7 = 2/7

x /y = x / y

x /y = 2/(-7) = 2/7

x/y = 2 /-7 = 2/7

x /y = x / y

x /y = (-2)/-7 = 2/7

x/y = -2 /-7 = 2/7

x /y = x / y

The statement is true for all y 0.

The EL-9900 shows absolute values with , just as written on paper, by using the Equation editor. The nature of arithmetic of the absolute value can be learned through arithmetical operations of absolute value functions.

10-4

Image 42
Contents EL-9900 Contents Read this first Always read Before StartingUsing this Handbook IntroductionFractions and Decimals ExamplePie Charts and Proportions BeforeSlope and Intercept of Linear Equations 1Enter the equation y = x for Y2 Parallel and Perpendicular Lines 2View the graphs Slope and Intercept of Quadratic Equations 1Change the equation in Y2 to y = x 2+2 1Access the Solver feature This screen will appear a few 4Enter the values L=15,000, I=0.09, N=48 Access the Solver feature 10π 200 15 π1Access the Solver feature 5Solve for the height and enter a starting point Graphing Polynomials and Tracing to Find the Roots 1Move the tracer near the left-hand root Graphing Polynomials and Jumping to Find the Roots = x 4 + x 3 5x 2 3x +Find the next root Solving a System of Equations by Graphing or Tool Feature 1Access the Tool menu. Select the number of variables Entering and Multiplying Matrices 1Multiply the matrices a and B together at the home screen Solving a System of Linear Equations Using Matrices 2Calculate B-1C Solving Inequalities EL-9900 Graphing Calculator Solving Double Inequalities 2x 5 ≥= 2x 5 = 2x 5 and y = 7 intersect at 6,7 + y ≤ 2x + y ≥+ y ≤ + 2y ≤ 1 x 2 + y ≥ + 2y ≤ 1 y ≤ +y ≥ 4 y ≥ 4 xContinuing key operations omitted Slope and Intercept of Absolute Value Functions If x ≥3View the graph Solving Absolute Value Equations Solve an absolute value equation 5 4x =Solving Absolute Value Inequalities = 10, y =2nd F Calc 2 x = = 9.999999999 Note Evaluating Absolute Value Functions +3 1+3Math Graphing Rational Functions + 1x Solving Rational Function Inequalities Graphing Parabolas = y 2 + 2 = y = +√ x +Change to parametric mode 2x + y 2 + 4y = Graphing CirclesGraph x 2 2x + y 2 + 4y = 2x + y+22 =For Y1 = Y1 2 for Y2, and y = -Y1 -2 for Graphing Ellipses View the graph Graphing Hyperbolas Zoom out the screen Key pad for the Sharp EL-9900 Calculator Key pad for the Sharp EL-9900 Calculator Sharp Graphing Calculator Step Sharp Corporation OSAKA, Japan