Adding Polynomial Layers

Graph of a polynomial function. The graph curves smoothly and oscillates several times between positive and negative values. The x-axis goes from negative 10 to 10 and is labeled "X". The y-axis goes from -10 to 10 and is labeled "Y".

To add a polynomial to a Cartesian graph:

  1. Insert a Cartesian graph or edit an existing graph by double-clicking it. The Cartesian Graph dialog box opens.

  2. In the Layers section, click Add.

  3. Select Polynomial in the Add Cartesian Layer dialog box and then click OK.

  4. Choose a method to define the polynomial. You can choose from the following:

    Points: A polynomial defined by coordinates that lie on the curve
    Zeroes: A polynomial defined by positions where the curve crosses the horizontal axis
    Critical points: A polynomial defined by positions where the curve is parallel to the horizontal axis
    Zeroes of the 2nd derivative: A polynomial defined by inflection points in the curve

  5. Enter the X values.

  6. If you selected Points from the Definition list, enter the Y values.

  7. For each point select a Style.

  8. Enter an optional Label for each point.
    Note: You can format the text using HTML text.

  9. If you entered a label select the Label Location.

  10. Select Show coordinate to display the location of the point as (x, y).

  11. Enter the Domain of the function. The default domain is from -Inf to Inf.

  12. If you defined the polynomial as Zeroes, Critical Points, or Zeroes of the 2nd Derivative, enter the Scale to specify a multiplier to increase or decrease the size of the graph (for example, entering 2 doubles the size of the graph).

  13. If you defined the polynomial as Critical Points or Zeroes of the 2nd Derivative, enter the Y Intercept.

  14. If you defined the polynomial as Zeroes of the 2nd Derivative, enter the Slope at X = 0.

  15. Select a Line Style for the line.

  16. Select a Line Color.

  17. Select a Relation to specify how shading is applied to the graph.

    Relation Shading
    = The line is shaded.
    < The area below the curve is shaded.
    <= The line and the area below the curve is shaded.
    > The area above the curve is shaded.
    >= The line and area above the curve is shaded.
  18. Click Fill Color to specify the color of the shaded area of the graph.

  19. Click Fill Shading to specify the pattern applied to the shaded area of the graph.

  20. If you want the layer to display only if a certain condition is met, enter an equation or a variable that evaluates to true or false into the Show if field. .

    Note: When entering variables, enclose the variable name in two opening and two closing number signs (for example, ##var1## = 3). The variable you reference must be defined for the question or the preface associated with the question.

  21. Click OK.