Problem $3(20$ points$)$

The following figure shows the plot of: $f(x)=x^3-5x^{2\mathrm{.}5}+e^{0\mathrm{.}9x}+4(x+1)+2.$ Based on

this figure, write a single code to:

a$)$ Find all roots of the equation: $f(x)=x^3-5x^{2\mathrm{.}5}+e^{0\mathrm{.}9x}+4(x+1)+2$

The code should be a script file in which the above equation has been defined as an anonymous

function. $(10$ points$)$

b$)$ Find the minimum value of the above function $f(x)$ and the $x$ value. $(10$ points$)$