Is f(x) = 2x4 - 3x odd, even, periodic, and/or monotonic?

[simonjordan2008]

For the following functions investigate whether they are odd / even / periodic / monotonic:

(1) f(x) = 2x4 − 3x

(2) f(x) = e−|x| + cos x.

 

[jwpaine]

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