Identifying Discontinuities in a Function on a Given Interval

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Homework Statement


Grapher: Graph each function on (-4,4), and identify the point(s) at which the function is not differentiable.



Homework Equations


Graph F(X) = (X^2-2x+1)^1/3 on [4,-4] and Identify any points of discontinuity.



The Attempt at a Solution


I plugged in the F(x) equation on my calculator and I don't how to graph it on [-4,4]? I tried tracing the F(X) graph but I don't see the graph hitting the pt [-4.4] anywhere, am I doing this wrong?
 
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Another thing after thinking about it a bit more, when it says Graph it on [-4,4] does it mean that the F(x) equation has to to touch that point? If it does its continous? If it doesn't it does not exist?
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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