A polynomial in one variable (sometimes called a univariate polynomial) with constant coefficients is given by:
ExamView Test Generator lets you define a univariate polynomial by points, zeroes, critical points, or zeroes of the 2nd derivative. The following graph is a polynomial with zeroes at 0, 1, and 3.
- Insert a Cartesian graph into a question, answer, matching group, rationale, feedback, or narrative. To edit an existing graph, double-click the graph or click Format from the menu bar and select Format Graph.
- Click the Functions tab, select Polynomial from the drop-down menu and click New.
- Select a method to define the polynomial from the drop-down menu. The options are: points (coordinates that lie on the curve), zeroes (positions where the curve crosses the horizontal axis), critical points (positions where the curve is parallel to the horizontal axis), or zeroes of the 2nd derivative (inflection points in the curve).
- Select a relation from the drop-down menu: equals, less than, less than or equal to, greater than, or greater than or equal to.
The relation determines the line style for the curve as well as whether the area above or below the curve is shaded.
- For each point defined, select a label style, point style, and label position.
- For a polynomial defined by zeroes, enter a scale factor.
- For a polynomial defined by critical points, enter a scale factor and a y-intercept.
- For a polynomial defined by zeroes of the 2nd derivative, enter a scale factor, y-intercept, and the slope of the curve at x = 0.
Variables can be used as values for the points, the scale factor, the y-intercept, the slope at x=0, anywhere in the function definitions or as values for the domain.
- To display the polynomial only if a certain condition is met, enter the condition in the field following Display polynomial (only if ).
- Enter the domain for the polynomial. By default, x will range from -inf(infinity) to inf(infinity).
- To change the drawing style for the polynomial, click the Pattern drop-down menu .
- To change the color of the polynomial and the points, click the Color drop-down menu .
- To change the color of the labels, click Font.
- To change the style for the shaded region, click the Shading drop-down menu . If the relation is "=", the shading style is not used.
- Click Apply to view your changes in the editing window or click OK to record your changes and close the New Polynomial window.