(Solved): Analyze the graph of the given function f as follows: (15 pts.) 8) f(x)=3(x4)2(x+2)(x+5) (a) Det ...

Analyze the graph of the given function $f$ as follows: (15 pts.) 8) $f(x)=3(x-4{)}^2(x+2)(x+5)$ (a) Determine the end behavior of the graph. (b) Find the $x$ - and $y$-intercepts of the graph. (c) Determine whether the graph crosses or touches the $x$-axis at each $x$-intercept. Explain how you decided. (d) Determine the maximum number of turning points. (e) Find the domain of $f$. (f) Use the information obtained in (a) - (d) to draw a complete graph of the function by hand. Label all intercepts.