I need a step by step solution to the attached exampleQuestion The functionf(x)={x2-2x+12,|x|cax2+bx+2,|x|>cis defined for some cinN. Answer the following questions:Set cas the most right non-zero digit in your student ID.(1) Find the equivalent form of this function as a piecewise defined function by removingabsolute value and square root signs.(2) Find the derivative off(x) and determine where the function is not differentiable.For question 3-9, considre a=19, and b=-13.(3) Find all the intercepts ofy=f(x).(4) Find all critical points ofy=f(x).(5) Classify all critical points ofy=f(x).(6) Find intervals that the function is increasing or decreasing.(7) Find the second derivative ofy=f(x).(8) Find points of inflection ofy=f(x).(9) Draw the function by hand using all the information you obtained so far.Annotate important information on your graph.(ForD and HD levels) The functionf(x)={x2-2x+12,|x|cax2+bx+2,|x|>cand for any cinN(D1) Find a and bin terms ofcso that the function is continuous in whole R.(D2)Isit possible to find a,b and cso that the function is differentiable in whole R?(D3) For what values ofc the function is differentiable atx=corx=-c?Consider c=9Please provide a step by step explanation. Need to submit a hand written explanation