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

1-70.

Selected values of a continuous *even* function are shown below.

What are

, , and ? Defintion of an even function:

.Since

then, by definition,as well.Sketch a possible graph of the function on the domain

. 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.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*