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1-70.

Selected values of a continuous even function are shown below. 1-70 HW eTool (Desmos). Homework Help ✎

  1. What are ?

    Defintion of an even function: .

    Since then, by definition, as well.

  2. Sketch a possible graph of the function on the domain .

  3. Sketch another possible graph of the function on the domain .

    There are many ways to connect the points, just make sure you maintain symmetry over the -axis.

  4. Can the graph be a quadratic function? If so, write a possible equation for the function. If not, explain why not.

    Can you draw a parabola through all of these points? Give it a try.

Use the eTool below to view the graphs of some possible functions.
Click the link at right for the full version of the eTool: Calc 1-70 HW eTool