For what values of x, if any, does #f(x) = 1/((x+12)(x-1)) # have vertical asymptotes?
Ezekiel Alexandervertical asymptotes x = -12 , x = 1
Vertical asymptotes occur as the denominator of a rational function tends to zero. To find the equation/s set the denominator equal to zero.
solve: (x+12)(x-1) = 0 → x = -12 , x = 1 are the asymptotes. graph{1/((x+12)(x-1) [-20, 20, -10, 10]}
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Charles ArochaThe function f(x) = 1/((x+12)(x-1)) has vertical asymptotes at x = -12 and x = 1.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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