Construct ecamples. Let f and g be functions that are neither even not odd.
a. create an example where f+g is even
b. create an example where f+g is odd
c. create an example where f times is even
d. create an example where f times is odd

Question

Construct ecamples. Let f and g be functions that are neither even not odd. 
a. create an example where f+g is even
b. create an example where f+g is odd
c. create an example where f times is even
d. create an example where f times is odd

michele_laino · Answer

question a)
I consider this pair of functions:
$$\begin{gathered}
  f\left( x \right) = {x^3} - 1 \hfill \
  g\left( x \right) =  - {x^3} + {x^2} + 1 \hfill \ 
\end{gathered} $$