# What is a rational function that has x=4 and x=3 as vertical Asymptotes, and (-2,0) as an x-intercept?

Example; P = 0 and A = 1 give ,

The design includes yet another asymptotic curve y = P(x).

The asymptotes-inclusive graph is for the chosen example #y =(x+

2)/((x-3)(x-4))#. The intercept is marked.

graph{(y(x-3)(x-4)-x-2)(x-3+.001y)(x-4+.01y)y((x+2)^2+y^2-.01)=0 [-10, 10, -5, 5]}

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The rational function that satisfies these conditions is f(x) = (x + 2)/(x - 4)(x - 3).

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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.

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