Chapter 2, Problem 30RE

Sketch the graph of each function. List any minimum or maximum values, where they occur, and any points of inflection. State where the function is increasing or decreasing and where it is concave up or concave down. $\left[2.2\right]$

$f\left(x\right)=\frac{1}{5}{x}^5+\frac{3}{4}{x}^4-\frac{4}{3}{x}^3+8$

(Round to three decimal places where appropriate.)