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Given the rational function 2x-3x2 -5x-6 find the verticle and horizontal asymptotes?
f(x) = (2x - 3x2)/(-5x - 6)
f(x) = -(3x2 - 2x)/-(5x + 6)
f(x) = (3x2 - 2x)/(5x + 6)
5x + 6 = 0
5x + 6 - 6 = 0 - 6
5x = -6
5x/5 = -6/5
x = -6/5 (the vertical asymptote of f)
Since the degree of the polynomial function in the numerator is greater than the degree of the polynomial function in the denominator, then the graph of f has no horizontal asymptote.
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