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To find the zeroes of the function, set the numerator equal to 0 and solve. 6x = 0 x = ?? To find the asymptotes, set the denominator equal to 0 and solve. x^2 - 36 = 0 x = ??
vertical asymptotes x=6, x=-6 horizontal asymptotes y=0 zeros (0,0)
f(x) = 6x / ( x^2 - 36) First factor f(x) = 6x / ( x-6)(x+6) Nothing cancels
x-6 = 0 x+6=0 x=6 x= -6
To find the zeros, we find where the numerator = 0 6x=0 x=0
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