Answer to Question #82172 in Calculus for simon wong

Question

let p and q be real numbers and let f be the function defined by: f(x)= 1+2p(x-1)+(x-1)^2, for x is greater than or equal to1 qx+p, for x>1... a. find the values of q in terms of p for which f is continuous at x=1 b.find values of p and q for which f is differentiable at x=1 c. if p and q have the values determined in part (b) id f '' a continuous function?