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1-70.

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

x

0

1

2

3

f(x)

0

2

4

6

  1. What are f(–1), f(–2), and f(–3)?

    Defintion of an even function: f(−a) = f(a).

    Since f(1) = 2 then, by definition, f(−1) = 2 as well.

  2. Sketch a possible graph of the function on the domain –3 ≤ x ≤ 3.

  3. Sketch another possible graph of the function on the domain −3 ≤ x ≤ 3.

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