[Steps Shown] Consider the function f(x)=(30 x^2-4)/(e^0.1 x). By answering the questions below you will fully understand what the function looks like.
Question: Consider the function \(f(x)=\frac{30 x^{2}-4}{e^{0.1 x}}\). By answering the questions below you will fully understand what the function looks like.
- Find zeroes of the function
- Determine the intervals where the function is increasing/decreasing, and indicate any local maxima/minima.
- Find the intervals where the function is concave up/concave down
- Determine the end behavior of this function, it is determine \(\operatorname{Lim}_{x} f(x)\) and \(\operatorname{Lim}_{x} f(x)\)
- Use all the information above to determine whether or not the function has any global maximum/ minimum. In case there is a global max/min indicate it and where it occurs.
Deliverable: Word Document 
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