## Related questions with answers

Question

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. $f(x)=\frac{x-4}{5-x}$

Solution

VerifiedStep 1

1 of 2Degree of the numerator is equal to the denominator

The asymptote is set by the leading terms of each polynomial

Divide the leading coefficient of the top polynomial by the leading coefficient of the bottom polynomial.

$\dfrac{1}{-1}=-1$

The equation of the Horizontal Asymptote is $y=-1$

To find the Vertical Asymptote make sure the rational expression is in lowest terms

Whenever the polynomial of the denominator is equal to zero (any of its roots) we get a vertical asymptote.

$5-x=0$

$x=5$

The equation of vertical asymptote is $x=5$

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Algebra and Trigonometry for College Readiness

1st Edition•ISBN: 9780131366268John Hornsby, Margaret L. Lial7,830 solutions

## More related questions

1/4

1/7