Maths Help? can someone please help?

Posted on 2017-09-26 18:07:00 in Math by DAVID KOFF

I'm confused on this rational function question, can someone please help? 

You have the rational function f(x) = x(x-1)/(x-3)^2 

f(x) has the turning point at (3/5, -1/24) 
range(f) = [-1/24, ∞) 

All the rest of what is required to sketch this graph is available for the equation for f: 
(a) State the Cartesian coordinates of the x- and y- intercepts. 
(b) State dom(f) 
(c) Give a sign diagram for f(x) 
(d) By using polynomial long division re-express f in asymptote form. 
(e) State the asymptotes of f and their nature. 
(f) Investigate the function behaviour near asymptotes and also find the coordinates of 
any points where the curve crosses a horizontal asymptote (if they exist).

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