SOLUTION: State the horizontal asymptote of the rational functions.
(these were separate questions but I had to do the same thing on both.)
f(x) = (7x^2 - 3x -9)/(2x^2 - 4x+5)
f(x) =
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Question 1061131: State the horizontal asymptote of the rational functions.
(these were separate questions but I had to do the same thing on both.)
f(x) = (7x^2 - 3x -9)/(2x^2 - 4x+5)
f(x) = (x+9)/(x^2+ 2x+5)
Answer by josgarithmetic(39628) (Show Source): You can put this solution on YOUR website!
Your second function and the question seem more interesting.
has a sign change at x=-9. Denominator is not factorable, and denominator is positive for all x values.
Think how the rational expression goes as x tends either toward negative infinity or toward positive infinity. The denominator increases in size MORE THAN the numerator. This function will become increasingly closer to 0 to the left, and become increasingly closer to zero to the right. Horizontal asymptote is y=0.
Same thing closer look:
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