Find the domain, intercepts, the intervals where function is increasing and decreasing, extreme values, intervals of concavity, points of inflection, asymptotes (vertical, horizontal, or slant). Show the1st and the 2nd derivative tables. Sketch a graph.
f(x)= x^2+12/(x-1)

Question

Find the domain, intercepts, the intervals where function is increasing and decreasing, extreme values, intervals of concavity, points of inflection, asymptotes (vertical, horizontal, or slant). Show the1st and the 2nd derivative tables. Sketch a graph.
	 f(x)= x^2+12/(x-1)

anonymous · Answer

sorry it wouldnt let me make an equation but its (x^2+12)/(x-1)

anonymous · Answer

$$\huge f(x)=\frac{x^2+12}{x-1} $$

anonymous · Answer

yupp

anonymous · Answer

find f'... set =0, solve for critical numbers....

anonymous · Answer

(x^2-2x+12)/(x-1)^2

anonymous · Answer

?

anonymous · Answer

$$\large f(x)=\frac{x^2+12}{x-1} $$
$$\large f'(x)=\frac{x^2-2x-12}{(x-1)^2} $$

anonymous · Answer

sorry jeannie... gotta go.... bye...

anonymous · Answer

ahhh!

paxpolaris · Answer

$$\large f(x) = {x^2+12 \over x-1}= {(x^2-1)+13 \over x-1}=\Large (x+1)+{13\over x-1}$$
so the asymptotes are “$y=x+1$” and “$x=1$” 

you need the second derivative to show when the graph is concave up or down... although you can guess easily.

anonymous · Answer

thanks sorry i had to go get my car inspected