January 7th, 2011, 04:34 AM  #1 
Senior Member Joined: Dec 2010 Posts: 233 Thanks: 0  Functions
Sketch the graph,label the asymptotes and state the range 1. f(x) = x+1 / x3 ,x ?R,x?3 2. y= x+1 / (x1)(x2) please help me to solve the question. i only know to find x=3,x=1/3 
January 7th, 2011, 05:37 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond  Re: Functions
1. f(x) = (x +1)/(x  3), x ? R, x ? 3 There's a vertical asymptote at x = 3. Do you see why? Zeros at x = 3, x = 1; test between and outside of this interval: x > 3, function is positive 1 < x < 3, function is negative x < 1, function is positive Range: (?, 1) U (1, ?) 

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