Answer
See explanation
Work Step by Step
a) $f$ is increasing on $[4,6]$.
b) $f$ is decreasing on $[1,4]$ and $[6.7]$.
c) $f$ is concave up on $(1,2)$ and $(3,5)$.
d) $f$ is concave down on $(2,3)$ and $(5,7)$.
e) $f$ has inflection points at $x=2$, $x=3$ and $x=5$.
