(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For the function y= |x^{2}-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(u^{2}), and |v|=sqrt(v^{2})

But im not sure where to go from there..

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# Homework Help: Differentiating absolute quadratic

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