SOLUTION: State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote.
f(x) = quantity x plus nine divided by
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-> SOLUTION: State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote.
f(x) = quantity x plus nine divided by
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Question 1100958: State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote.
f(x) = quantity x plus nine divided by quantity x squared plus four x plus two Answer by greenestamps(13200) (Show Source):
The degree of the denominator is larger than the degree of the numerator. That means that, for large positive or large negative values, the denominator gets big faster than the numerator; therefore the function value gets closer to zero.
So the function has a horizontal asymptote of y=0.
Note that the function value is 0 at x=9.
That means the graph crosses the horizontal asymptote at that point.
As x gets very large positive, the function value is a small positive number; as x gets very large negative, the function value is a small negative number.
