SOLUTION: What would this rational function graph look like? F(x)= 3x+5/(x-1)(x-4) I know that there's a horizontal asymptote at y=o and vertical asymptotes at x=1 and x=4 how do yo

Question 589403: What would this rational function graph look like?
F(x)= 3x+5/(x-1)(x-4)
I know that there's a horizontal asymptote at y=o and vertical asymptotes at x=1 and x=4
how do you make this graph though??
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

Draw the asymptotes:

 

To get a decent graph, you have to plot lots of points, which
isn't too hard if you have a graphing calculator:

 x   |   y
------------
-7   |-.182 
-6   |-.186 
-5   |-.185
-5/3 |   0
-1   |  .2
 0   | 1.25
.5   | 3.71
1.5  |-7.6
2    |-5.5
3    |-7 
3.2  |-8.30
4.6  | 8.70
5    | 5
6    | 2.3
7    | 1.4
10   |  .648



Then draw the graph:



Edwin

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