# How do you find the slant asymptote of #f (x ) = (3x^2 - 2x - 1) / (x + 4 )#?

Slant asymptote is given by

graph{(3x^2-2x-1)/(x+4) [-30, 40, -100, 100]}

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To find the slant asymptote of the function (f(x) = \frac{3x^2 - 2x - 1}{x + 4}), divide the numerator by the denominator using polynomial long division or synthetic division. The quotient obtained represents the equation of the slant asymptote.

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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.

- How to find a horizontal asymptote #(x+3)/(x^2-9)#?
- How do you find the asymptotes for #f(x) = (x^2-25)/(x^2+5x)#?
- How do you find the Vertical, Horizontal, and Oblique Asymptote given #y = (2x+4)/( x^2-3x-4)#?
- How do I find the domain of #f(x)=(3x-8)/(4x+20)#?
- How do you find the asymptotes for #y = (8 x^2 + x - 2)/(x^2 + x - 72)#?

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