SOLUTION: what is the vertical asymptote, horizontal asymptote, x-intercept, y-intercept, domain and range for f(x)=(2x^2+3)/(x^3)

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Question 737241: what is the vertical asymptote, horizontal asymptote, x-intercept, y-intercept, domain and range for f(x)=(2x^2+3)/(x^3)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
what is the vertical asymptote, horizontal asymptote, x-intercept, y-intercept, domain and range for f(x)=(2x^2+3)/(x^3)
..
vertical asymptote:
x^3=0
x=0
..
horizontal asymptote:
y=0 or x-axis
..
x-intercept
set y=0
2x^2+3=0
2x^2=-3
x-intercept: none
..
y-intercept
set x=0
(2x^2+3)/(x^3)=3/0=undefined
y-intercept: none
..
domain: (-∞,0) U (0,∞)
range:(-∞,0) U (0,∞)
number line:
<.....-......0......+.......>