Question

What is the vertical and the horizontal asymptote for this problem?
f(x)=(x-1)(x-2)(x-3)
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(4x+1)

Answer 1

what values can you put in for x to make f(x) undefined?

Answer 2

What happens to the denominator if you plug in -1/4 for x

Answer 3

It would be 0

Answer 4

vertical asymptote where the denominator is zero , namely at \(x=-\frac{1}{4}\)
there is no horizontal asymptote because the degree of the numerator is larger than the degree of the denominator

Answer 5

Thank you!

Answer 6

yw