Identify and classify all relative extrema for the function $f(x)=\frac{1}{5}{x}^5+\frac{1}{4}{x}^4-2x^3-5.($what $x$ values does $f$ have a relative min or max? Also determine whether each is a min or a max$)$

The graph of $f^{\text{'}\text{'}},$ the second derivative of $f,$ is shown above. How many points of inflection does $f$ have?

$,$ voe this graph of $f\text{'},$ the derivative of f for #$4-7$

$4.$ On what intervals is $f$ increasing?

$5.$ On what intervals is $f$ concave down?

$6.$ For what values of $x$ does $f$ have a relative min?

$7.$ For what values of $x$ does $f$ have a point of inflection?