September 9th, 2017, 05:51 PM  #1 
Senior Member Joined: Apr 2017 From: New York Posts: 104 Thanks: 6  graphing
Hi guys, How can I graph this, please teach me. question: graph (x^2+x20) / x4 
September 9th, 2017, 06:48 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,878 Thanks: 1087 Math Focus: Elementary mathematics and beyond 
$$\frac{x^2+x20}{x4}\equiv\frac{(x4)(x+5)}{x4}$$ Since the denominator is zero at x = 4, we have a singularity there but it's removable, as the numerator has a factor of x  4. Now plot x + 5 and x  5, using various values for x, on the same axes with a "hole" (hollow circle) at x = 4, then join the dots with a line. There are two branches, one with negative slope (x  5) and one with positive slope (x + 5), so be mindful of where the function "jumps" between branches (at x = 4). Don't forget to title and label your graph accordingly. 
September 9th, 2017, 11:55 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,708 Thanks: 1805  
September 10th, 2017, 04:45 AM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,878 Thanks: 1087 Math Focus: Elementary mathematics and beyond 
I simply failed to give it due consideration.


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