# How do you find the vertical, horizontal or slant asymptotes for #f(x) = ( 3x^2 + 2x - 1 )/( x + 1)#?

f(x) has no asymptotes.

Simplify and factorize f(x) as a first step.

The line equation f(x)= 3x - 1 now has no asymptotes: graph{3x-1 [-10, 10, -5, 5]}

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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 do you find the vertical, horizontal and slant asymptotes of: # f(x) = x/ sinx#?
- How do you find the slant asymptote of #(x^3-1)/(x^2-9)#?
- How do you find the inverse of #f(x)=x^2+2x-5# and is it a function?
- How do you graph #f(x)=(x+2)/(x^2+4)# using holes, vertical and horizontal asymptotes, x and y intercepts?
- How do you find the inverse of # f(x) = (x + 2)^2# and is it a function?

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