- #1

ProgMetal

- 8

- 0

## Homework Statement

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

## Homework Equations

chain rule, differentiating...

## The Attempt at a Solution

a. easy enough.

b. I said the function was continuous as i don't 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 I am not sure where to go from there..