10. Consider the function f (20 ) := 1 - 2 2 . Please apply the tools from differential calculus developed in the previous sections and determine all important features of the function f like: domain, range, symmetry, intervals of increase, decrease, local maxima and minima, inflection points, intervals of concavity, asymptotes and then sketch the graph of the function. Check you answer using a plotting program.10. Consider the function f (20 ) := 1 - 2 2 . Please apply the tools from differential calculus developed in the previous sections and determine all important features of the function f like: domain, range, symmetry, intervals of increase, decrease, local maxima and minima, inflection points, intervals of concavity, asymptotes and then sketch the graph of the function. Check you answer using a plotting program