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TI-84 Graphing Calculator 1.Basic Computations 2.Graphing Navigation 3.Graphing Tools 4.Statistics and Algebraic Models

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First… Clear Memory 2 nd, MEM, Reset: all RAM, ENTER Degree Mode MODE, Degree, ENTER, 2 nd, QUIT

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Basic Computations –Example: –Answer: –Looks Like:

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Graphing Navigation… Typing Equations –Always set your equation equal to zero –Use the correct syntax (see Basic Computations) –Turn off Plots 2 nd, STAT PLOT, 4:Plots Off, ENTER

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Graphing Navigation… Viewing Window To display x:[-10, 10]; y:[-10, 10] * ZOOM 6: Standard To show all points on a scatter plot * ZOOM 9: Stat To show entire graph on the screen * ZOOM 0: Fit To zoom in/out from the center of the screen * ZOOM 2: Zoom In* ZOOM 3: Zoom Out * Best option…learn to use the WINDOW to manually edit the length of the x-axis and y-axis

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Graphing Navigation… Viewing Window Example: * Graphx 3 – 1.1x 2 – 65.4x = – x:[4.95, 5.15]; 0.05 y:[–0.1, 0.1]; 0.01 Does the graph have any zeros?

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Graphing Tools… Calculating Extrema (minimum/maximum) 2 nd, CALC 3:minimum or 4: maximum LB, ENTER, RB, ENTER, Guess?, ENTER x = (where it occurs) y = min/max value

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Graphing Tools… Finding Zeros/Roots (x-intercepts, solutions) 2 nd, CALC 2: zero LB, ENTER, RB, ENTER, Guess?, ENTER x = (where it occurs) y = 0

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Graphing Tools Locating Points of Intersection (two graphs) 2 nd, CALC 5: intersect 1 st curve, ENTER, 2 nd curve, ENTER, Guess?, ENTER

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Practice: * Find the zeros, maximum, and minimums: x 4 – 7x 2 + 6x * zeros: –3, 0, 1, 2 * max: (0.456, 1.323) * min: (–2.056, –24.057) * min: (1.601, –1.766) x 3 – 4x 2 – 7x + 10 * zeros: –2, 1, 5* max: (–0.694, ) * min: (3.361, –20.745) 10x x 2 – 54.85x * zeros: -3, 1.1, 1.15 * max: (–1.625, ) * min: (1.125, –0.026)

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Statistics and Algebraic Models… Scatter Plots * Plotting Points Clear Y= Turn on Plot 1: 2 nd, STAT PLOT, 1, ON, ENTER Enter ordered pairs: STAT – 1:Edit –Enter x-coordinates for L1 –Enter y-coordinates for L2 –ZoomStat to view graph

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Statistics and Algebraic Models Lines of Best Fit STAT – CALC –Choose type of equation: 4: Line 5: Quadratic 6: Cubic 7: Quartic Type L1, L2, Y 1 -Use the 2nd button to type L1 and L2 -Dont forget the comma -To find Y1 press VARS, Y-VARS, 1:Function, 1: Y 1 Press ENTER The algebraic model is shown on the graph, and the equation is located in Y 1

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Example: * Make a scatter plot of the data: * Find a linear model, quadratic model, cubic model Linear Equation: y = 0.572x Quadratic Equation: y = 0.059x2 – 0.617x Cubic Equation: y = –0.0124x x 2 – 3.269x x y

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Make a 2 scatter plots of the data: * Men: Plot 1 * Women: Plot 2 * set x = 0 to represent the year 1970 * Find a quadratic model and cubic model for the data * Which model best fits the data? * What is the life expectancy for men & women in 2020? Life Expectancy (years) Year of Birth MenWomen

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Find the minimum, maximum, and zeros of each function. Then find the point(s) of intersection of the functions. The table shows U.S. energy production for a number of years. a.Find a linear model, a quadratic model, a cubic model, and a quartic model for the data. Let x = 0 represent b.Graph each model. Which one is the better fit? c.Use each model to determine the current energy production. Which model has the most reasonable answer?

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