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

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

| 0 | 1 | 2 | 3 |

| 0 | 2 | 4 | 6 |

What are

*f*(–1),*f*(–2),*f*(–3)?Defintion of an even function:

*f*(−*a*) =*f*(*a*).Since

*f*(1) = 2 then, by definition,*f*(−1) = 2 as well.Sketch a possible graph of the function on the domain –3 ≤

*x*≤ 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.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