Which of the following functions does not have horizontal asymptotes?
E) None of the above.

Question

Quizplus · Accepted Answer

The function in choice C does not have horizontal asymptotes because as x approaches infinity or negative infinity, the exponential term in the denominator dominates the polynomial term in the numerator, causing the function to approach zero. 
Choices A, B, and D all have horizontal asymptotes at y=0 because as x approaches infinity or negative infinity, the polynomials in the numerator and denominator become much larger than any constant terms or exponential functions, causing the function to approach zero.

Which of the Following Functions Does Not Have Horizontal Asymptotes