SOLUTION: indicate the general shape of the following rational function by finding (1)the vertical asymptote VA,(2) the horizontal asymptote HD,and (3)x and Y intercepts: y=3x/x+2

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Question 399683: indicate the general shape of the following rational function by finding (1)the vertical asymptote VA,(2)
the horizontal asymptote HD,and (3)x and Y intercepts:
y=3x/x+2

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
indicate the general shape of the following rational function by finding
(1) the vertical asymptote VA,
Solve x+2 = 0 ; x = -2 is a vertical asymptote.
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(2) the horizontal asymptote HD,
y = (3x)/(x) = 3
y = 3 is the horizontal asymptote.
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(3) x and Y intercepts:
x-intercept = ?
Let y = 0
Solve 3x = 0
x = 0 is the x-intercept
-----------------------------
y-intercept = ?
Let x = 0
Then 3*0/(0+2) = 0/2 = 0
y = 0 is the y-intercept
==========================
y=3x/x+2
============
Cheers,
Stan H.

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