# What are the asymptotes for #f(x) = (x^2 -1)/(2x^2 + 3x-2)#?

Vertical asymptotes:

Horizontal asymptote:

2] Horizontal asymptote; which are horizontal lines that again cannot be crossed by the graph of your function. Your function instead tends to get as near as possible to them.

Graphically you can see them as: graph{(x^2-1)/(2x^2+3x-2) [-10, 10, -5, 5]}

By signing up, you agree to our Terms of Service and Privacy Policy

To find the vertical asymptotes of the function (f(x) = \frac{x^2 - 1}{2x^2 + 3x - 2}), set the denominator equal to zero and solve for (x). The vertical asymptotes occur where the denominator equals zero. Therefore, you need to solve the equation (2x^2 + 3x - 2 = 0). The solutions to this quadratic equation represent the values of (x) where the function has vertical asymptotes.

By signing up, you agree to our Terms of Service and Privacy Policy

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 asymptotes for #(3x-2) / (x+1) #?
- Given #f(-3x)#, how do you describe the transformation?
- How do you know if #v(x) = 2 sin x cos x# is an even or odd function?
- How do you describe the transformation in #f(x) = - 2 (x - 7)^2 + 8 #?
- How do you find the vertical, horizontal or slant asymptotes for # r(x)= ((2x^2+14x-36)/(x^2+x-12))#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7