Question: Consider the function whose graph is shown (right). Consider also its derivative and its second derivative.

Answer questions (a)-(e) below, followed by a short explanation in the space provided.

1. For what values of x is \(f'\left( x \right)>0\) ? __________ (answer using intervals or inequalities)
2. List x values for all critical points of f(x) (there are 4 of them) x=_____, x=_____, x=_____, and x=_____.
3. List x values for all critical points of f(x) (there are 4 of them) x=_____, x=_____, x=_____, and x=_____. State another name for these__________________.
4. For what values of x is ?__________ (answer using intervals or inequalities)
5. At what value(s) of x is f(x) a minimum? x =_____.
6. At what value(s) of x is a minimum? x=_____.
7. Does have a horizontal asymptote? _____ If so, what? y=________
8. Does have a vertical asymptote? _____ If so, where? x=________

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