Selected values of a continuous even function are shown below.  

1. What are $f\left(-1\right)$, $f\left(-2\right)$, and $f\left(-3\right)$?

   Hint (a):

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

   More Help (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 $−3 ≤ x ≤ 3$.

   Hint (c):

   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.

   Hint (d):

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