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.
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