### Home > APCALC > Chapter 1 > Lesson 1.2.4 > Problem1-70

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 $f(–1), f(–2), \text{ and } f(–3)$?

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