1. The problem statement, all variables and given/known data For the function y= |x2-4x+3| a. Sketch the function b. Is the function continuous? Explain. c. Is the function differentiable everywhere? explain d. find gradient of curve at the point where x = 3/2 2. Relevant equations chain rule, differentiating... 3. The attempt at a solution a. easy enough. b. I said the function was continuous as i dont think it would be undefined at any point..? c. I know the derivative is undefined at x=3 and x=1 (the x intercepts) but I am not sure why... d. Not sure where to go here, all i know is that i can put it in the form f(x)=|(x-3)(x-1)|, let u=x-3, let v=x-1, and that |u|=sqrt(u2), and |v|=sqrt(v2) But im not sure where to go from there..