# Thread: [SOLVED] Various questions part 2

1. ## [SOLVED] Various questions part 2

I need help with various calculus review problems. You could answer a few of them, all of them, or give me some hints. You don't have to answer every single one if you don't want to, but that would be great if you could.

D) $y= \sqrt[3]{x^3 - 1}$
D1) Find the coordinates of the points on the graph where the tangent line is vertical or horizontal.

D2) Find the $\lim x\rightarrow \infty y= \frac {\sqrt[3]{x^3 - 1}}{1}$ and $\lim x\rightarrow -\infty y= \frac {\sqrt[3]{x^3 - 1}}{1}$. Interpret the end behavior of the graph of $y= \sqrt[3]{x^3 - 1}$ using the values of these limits.

D3) What does the graph of y look like, using parts D1) and D2) ?
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F) This graph consists of two line segments and a semicircle: http://img6.imageshack.us/img6/3329/calcy.png

F1) If $\int_0^{x} f(t), dt
$
, what is $g(0)$ and $g(2)$?

F2) What is the relative max and relative min of g?

F3) What are the points of inflection for g?

F4) What does the graph of $g(x)$ look like?