SOLUTION: Graph all vertical and horizontal asymptotes of the function. f(x)10x-13/4x-6

Algebra ->  Graphs -> SOLUTION: Graph all vertical and horizontal asymptotes of the function. f(x)10x-13/4x-6      Log On


   

Question 831842: Graph all vertical and horizontal asymptotes of the function. f(x)10x-13/4x-6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%2810x-13%29%2F%284x-6%29
To find horizontal asymptotes, divide numerator and denominator by highest power of x and let x go to infinity.
f%28x%29=%2810-13%2Fx%29%2F%284-6%2Fx%29
lim%28+x-%3Einfinity%2C+f%28x%29%29=10%2F4=2.5
To find vertical asymptotes, look for where the denominator equals zero.
4x-6=0
x=6%2F4=3%2F2
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