How do you find the slant asymptote of #f(x) = (2x^2 + 3x + 8)/(x + 3)#?

Answer 1

Anna Allen

y = 2x-3

Use polynomial long division:

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

Answer 2

Lily Anderson

To find the slant asymptote of ( f(x) = \frac{2x^2 + 3x + 8}{x + 3} ), follow these steps:

Divide the numerator by the denominator using polynomial long division.
The quotient obtained represents the equation of the slant asymptote.
Disregard any remainder since the function approaches the slant asymptote as ( x ) approaches positive or negative infinity.

The quotient obtained from polynomial long division represents the equation of the slant asymptote.

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

Answer 3

Elias Ackerman

To find the slant asymptote of the function ( f(x) = \frac{2x^2 + 3x + 8}{x + 3} ), you perform long division to divide the numerator by the denominator. The quotient obtained will be the equation of the slant asymptote.

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

Answer from HIX Tutor

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.