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Graphing

Rules for plotting data. Identify the independent and dependent variables.Ind. Variable:A. the value you control / changeB. always on the X-axisDep. Variable: A. the result of the change to the I.V.B. always on the Y-axis. Rules for plotting data (cont.). Determine the range of the I.V.

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Graphing

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    1. Graphing How to create a graph and how to interpret different graph designs

    2. Rules for plotting data Identify the independent and dependent variables. Ind. Variable: A. the value you control / change B. always on the X-axis Dep. Variable: A. the result of the change to the I.V. B. always on the Y-axis

    3. Rules for plotting data (cont.) Determine the range of the I.V. to be plotted Decide if a (0,0) origin is a valid data point Spread the data out as much as possible (each division on the graph paper should be the largest convenient unit) Number and label the X-axis Repeat steps 2 – 5 for D.V.

    4. Rules for plotting data (cont.) Plot the data points Draw line of best fit or smooth curve DO NOT play connect the dots!!! Give the graph a title that tells what it represents Include any other info. that is asked (formula, equation, etc.)

    5. Types of Graphs Linear Relationship – 1. Directly proportional 2. Graph : straight line 3. Equation : y = mx + b m = slope ; b = y-intercept 4. m = rise ?y run ?x

    6. Types of Graphs (cont.) Linear Relationship (cont.) – 5. Y-intercept (b) = the Y value when the X value is 0. 6. When b = 0, the equation becomes y = mx

    7. Linear Relationship Graph

    8. Types of Graphs (cont.) Nonlinear Relationships – A. Quadratic Relationship: 1. Graph : Parabola 2. Equation : y = ax2 + bx + c (a, b, & c are constants) 3. if b = 0 and c = 0; then y =ax2 (if x gets larger, then y gets larger by the square of x)

    9. Quadratic Relationship Graph

    10. Types of Graphs (cont.) Nonlinear Relationships – B. Inverse Relationship: 1. Graph: Hyperbola 2. Equation: y = a/x or xy = a 3. As x gets larger, y gets smaller 4. This is an indirect relationship

    11. Inverse Relationship Graph

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