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Question 63436: can you please help me find the domain, range, intercepts and asymptotes for the function, f(x)=(3/(x+2))
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! f(x)=(3/(x+2))
find the domain:
all Real numbers except x=-2
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range: All Real numbers
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intercepts:
x-intercepts
Let y=0 and solve for "x"
0=3/(x_2)
There is no solution, so there are no x-intercepts.
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y-intercept:
Let x=0, then y=3/2
y-intercept at (0,3/2)
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asymptotes
Vertical asymptote when the denominator is zero; at x=-2
Horizontal asymptote at y=0/1 = 0 (0 and 1 are the coefficients of x)
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Cheers,
Stan H.
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