AI Tutor
Back to 5.6 Rational Functions

Identifying Horizontal and Slant Asymptotes

Avg difficulty 2.5

For the functions below, identify the horizontal or slant asymptote.

  1. ⓐ g(x)= 6 x 3 −10x 2 x 3 +5 x 2 g \left(x\right) = \frac{6 x^{3} - 10 x}{2 x^{3} + 5 x^{2}}
  2. ⓑ h(x)= x 2 −4x+1 x+2 h \left(x\right) = \frac{x^{2} - 4 x + 1}{x + 2}
  3. ⓒ k(x)= x 2 +4x x 3 −8 k \left(x\right) = \frac{x^{2} + 4 x}{x^{3} - 8}

OpenStax Precalculus 2e, 3.7 Rational Functions, exercise 12

AI Tutor

Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.