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Question

# Let$f ( x ) = \frac { \cos x } { 1 + x ^ { 2 } }$. (a) Use a graphing device to graph f in an appropriate viewing rectangle. (b) Determine from the graph if f is even, odd, or neither. (c) Find the minimum and maximum values of f.

Solution

Verified

The given function $f$ approaches zero as $x\to\infty$, so it is enough to observe its graph on the interval $[-15,15]$, for instance.

We used GeoGebra to get the following picture:

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