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Graphing Calculator EL-9650/9600c/9450/9400 Handbook V ol. 1 Algebra EL-9650 EL-9450.
1. Linear Equations 1-1 Slope and Intercept of Linear Equations 1-2 Parallel and Perpendicular Lines 2. Quadratic Equations 2-1 Slope and Intercept of Quadratic Equations 2-2 Shifting a Graph of Quadratic Equations 3.
1. Always read “Befor e Starting” The key operations of the set up condition are written in “Before Starting” in each section. It is essential to follow the instructions in order to display the screens as they appear in the handbook.
Notes Step & Key Operation *Use either pen touch or cursor to operate. Display EL-9650/9600c Graphing Calculator 2-1 2 - 2 View both graphs. 3 - 2 View both graphs.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) S lope and Inter ce.
Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) EL-9650/9600c/9450/9400 Graphing Calculator Notes Enter the equation y = - x for Y2. View both graphs. Notice how Y2 decreases (going down from left to right) instead of increasing (going up from left to right).
EL-9650/9600c/9450/9400 Graphing Calculator P arallel and P erpendicular Lines 1-2 1. Graph the equations y = 3 x + 1 and y = 3 x + 2. 2. Graph the equations y = 3 x - 1 and y = - x + 1 . Enter the equations y = 3 x + 1 for Y1 and y = 3 x + 2 for Y2. View the graphs.
Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) EL-9650/9600c/9450/9400 Graphing Calculator Notes 1-2 View the graphs. These lines have slopes that are negative reciprocals of each other ( m = - ).
EL-9650/9600c Graphing Calculator S lope and I nter cept of Quadratic Equations A quadratic equation of y in terms of x can be expressed by the standard form y = a ( x - h ) 2 + k, where a is the coefficient of the second degree term ( y = ax 2 + bx + c ) and ( h , k ) is the vertex of the parabola formed by the quadratic equation.
Step & Key Operation *Use either pen touch or cursor to operate. Display EL-9650/9600c Graphing Calculator Notes 2-1 2 - 2 View both graphs. Notice that the addition of 2 moves the basic y = x 2 graph up two units and the addition of - 2 moves the basic graph down two units on the y -axis.
EL-9650/9600c/9450/9400 Graphing Calculator 2-2 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. Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate.
Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) EL-9650/9600c/9450/9400 Graphing Calculator Notes 2-2 Move the graph y = x 2 to the right b y 3. 2 - 1 (three times) * 3 - 3 Save the new graph and observe the changes in the graph and the equation.
EL-9650/9600c Graphing Calculator 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. Notes Step & Key Operation *Use either pen touch or cursor to operate.
Step & Key Operation *Use either pen touch or cursor to operate. Display EL-9650/9600c Graphing Calculator Notes 3-1 Save this formula. 2 - 1 Give the formula the name AMORT. 2 - 2 The monthly payment (P) is $373.28. Solve for the payment(P). 1 - 5 * ( ) * * Recall the amortization formula.
EL-9650/9600c Graphing Calculator 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. Notes Step & Key Operation *Use either pen touch or cursor to operate.
Step & Key Operation *Use either pen touch or cursor to operate. Display EL-9650/9600c Graphing Calculator Notes The solver feature will graph the left side of the equation (volume, y = 30), then the right side of the equation ( y = 10 r 2 ), and finally will calculate the intersection of the two graphs to find the solution.
EL-9650/9600c Graphing Calculator 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. Notes Step & Key Operation *Use either pen touch or cursor to operate.
Step & Key Operation *Use either pen touch or cursor to operate. Display Notes EL-9650/9600c Graphing Calculator 3-3 Enter the values: A = 50, B = 8, C = 10. 3 - 2 Newton's method will prompt with a guess or a starting point. 1 - 5 Solve for the height and enter a starting point of 1.
EL-9650/9600c Graphing Calculator * * * * G raphing P olynomials and T racing to F ind the R oots A polynomial y = f ( x ) is an expression of the sums of several terms that contain differ ent powers of the same originals. The roots are found at the intersection of the x- axis and the graph, i.
Step & Key Operation *Use either pen touch or cursor to operate. Display Notes EL-9650/9600c Graphing Calculator * (repeatedly) Note that the tracer is flashing on the curve and the x and y coordinates are shown at the bottom of the screen. The root is exactly x = 1.
EL-9650/9600c/9450/9400 Graphing Calculator 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.
Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) EL-9650/9600c/9450/9400 Graphing Calculator Notes 2 - 4 2 - 3 Find the next root.
EL-9650/9600c/9450/9400 Graphing Calculator There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default and delete all data.
Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) EL-9650/9600c/9450/9400 Graphing Calculator Notes Access the Tool menu. Select the number of variables. Enter the system of equations.
EL-9650/9600c Graphing Calculator 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. Notes Step & Key Operation *Use either pen touch or cursor to operate.
Step & Key Operation *Use either pen touch or cursor to operate. Display Notes EL-9650/9600c Graphing Calculator Matrix multiplication can be performed if the number of col- umns of the first matrix is equal to the number of rows of the second matrix.
EL-9650/9600c Graphing Calculator 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. Notes Step & Key Operation *Use either pen touch or cursor to operate.
Step & Key Operation *Use either pen touch or cursor to operate. Display Notes EL-9650/9600c Graphing Calculator 3 - 3 3 - 1 Delete the input matrices for future use. The 1 is the x coordinate, the 2 the y coordinate, and the 3 the z coordinate of the solution point.
EL-9650/9600c Graphing Calculator S olving I nequalities T o solve an inequality, expressed by the form of f ( x ) ≤ 0, f ( x ) ≥ 0, or form of f ( x ) ≤ g ( x ) , f ( x ) ≥ g ( x ) , means to find all values that make the inequality true.
Notes Step & Key Operation *Use either pen touch or cursor to operate. Display EL-9650/9600c Graphing Calculator 2 - 1 Enter y = 3(4 - 2 x ) for Y1 and y = 5 - x for Y2. * (7 times) (4 times) * 2 - 2 View the graph. 2 - 3 Access the Set Shade screen.
EL-9650/9600c/9450/9400 Graphing Calculator 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. Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) 4 Move the tracer and find another intersection. y = 2 x - 5 and y = 7 intersect at (6,7).
EL-9650/9600c/9450/9400 Graphing Calculator 4 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.
EL-9650/9600c/9450/9400 Graphing Calculator 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. Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) 7-4 Use the cursor to check the position of each point. (Zoom in as necessary).
EL-9650/9600c Graphing Calculator 8-1 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: * ( * ) Notes Step & Key Operation *Use either pen touch or cursor to operate.
Notes Step & Key Operation *Use either pen touch or cursor to operate. Display EL-9650/9600c Graphing Calculator 2 - 3 View the graph. 2 - 5 Change the coefficients to graph y =| x |-1. 2 - 4 View the graph. The EL-9650/9600c shows absolute values with | |, just as written on paper, by using the Equation editor.
EL-9650/9600c/9450/9400 Graphing Calculator 8-2 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. Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) y = | x | changes to y = | x -2| 2 - 1 Move the original graph to the right by 2.
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. Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate.
EL-9650/9600c/9450/9400 Graphing Calculator 8-4 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 viewing window to “-5< x <50,” and “-10< y <10” using Rapid W indow featur e to solve Q1.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) 8-4 2 - 1 Enter the function y = |3.5 x + 4|for Y1. Enter y = 10 for Y2.
EL-9650/9600c/9450/9400 Graphing Calculator 8-5 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. Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) = 0.75 , = 0 .75 8-5 2 - 2 Is | x + y | = | x | +| y |? Think about this problem according to the cases when x or y are positive or negative.
EL-9650/9600c/9450/9400 Graphing Calculator 9-1 G raphing Rational F unctions A rational function f ( x ) is defined as the quotient where p ( x ) and q ( x ) are two polynomial functions such that q ( x ) ≠ 0. The domain of any rational function consists of all values of x such that the denominator q ( x ) is not zero.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) The y -intercept is at (0 ,1). No- tice that there are no x -inter- cepts for the graph of f ( x ) .
EL-9650/9600c/9450/9400 Graphing Calculator 9-2 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.
EL-9650/9600c/9450/9400 Graphing Calculator 10-1 The graph of the equation y = √ x+ 2 is the "top half" of the parabola and the graph of the equation y = - √ x + 2 gives the "bottom half." There may be differences in the results of calculations and graph plotting depending on the setting.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) 2 - 1 Change to parametric mode. * * 2 - 2 Rewrite x = y 2 - 2 in parametric form.
EL-9650/9600c/9450/9400 Graphing Calculator 10-2 Solve the equation for y. Enter y = √ 4 - x 2 for Y1 (the top half). Enter y = - √ 4 - x 2 for Y2.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) 2 - 2 * * * * * Enter y = √ 6 - x 2 + 2 x for Y1, y = Y1 - 2 for Y2, and y = -Y1 -2 for Y3.
EL-9650/9600c/9450/9400 Graphing Calculator 10-3 Enter Y1 = √ 3 - 3( x - 3) 2 Y2 = Y1 - 2 Y3 = -Y1 -2 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.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) 4 Adjust the screen to see the bottom part of the ellipse using the Rapid Zoom feature.
EL-9650/9600c/9450/9400 Graphing Calculator 10-4 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.
EL-9650/9600c/9450/9400 Graphing Calculator Notes Step & Key Operation (When using EL-9650/9600c) *Use either pen touch or cursor to operate. Display (When using EL-9650/9600c) 3 View the graph. 4 Zoom out the screen. * * Graphing hyperbolas can be perfor med easily on the calculator display.
Graphing keys Power supply ON/OFF key Alphabet specification key Secondary function specification key Display screen Cursor movement keys Clear/Quit key Variable enter key Calculation execute key Communication port for peripheral devices K ey pad for the SHARP EL-9650/9600c C alculator Vol.
Graphing keys Power supply ON/OFF key Alphabet specification key Secondary function specification key Display screen Cursor movement keys Clear/Quit key Variable enter key Calculation execute key Communication port for peripheral devices K ey pad for the SHARP EL-9450/9400 Calculator Vol.
Dear Sir/Madam W e would like to take this opportunity to invite you to create a mathematical problem which can be solved with the SHARP graphing calculator EL-9650/9600c/9450/9400.
SHARP CORPORA TION Osaka, J apan Fax: BEFORE ST ARTING : W rite any conditions to be set up before solving the problems. STEP NOTES SHARP Graphing Calculator Vol.
SHARP CORPORA TION OSAKA, JAPAN Vol.1 Front.Back.layout.p65 02.10.28, 1:14 PM Page 7 Adobe PageMaker 6.5J/PPC.
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