Question

f(x)=x^4-4x+1
A) find the intervals on which f is increasing or decreasing
B)find the critical Number(s)
C) find the local max and local min values of f.
D) find the intervals of concavity (upward or downward) and the inflection points
E) lim x-> infinity f(x)=
lim x-> -infinity f(x)=
F) Graph it.

Answer 1

\[f(x)=x^{4}-4x+1\]