I have no idea, this is due 10 min
in Other Math Topics by
reshown by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

f(x)=(x-1)²(3x+1)/((x-2)²(x+3)) is an example.

The vertical asymptotes are at x=2 and x=-3, because the denominator becomes zero at these points. The turning point is caused by (x-1)² in the numerator. Note that the degrees of the numerator and denominator are the same (degree 3, because they each expand to x³). The horizontal asymptote is caused by the coefficient 3 in the numerator. As x gets larger in magnitude, the constants can be ignored and we end up with 3x³/x³=3.

To find another function, you could choose constants other than 2 and 3 in the denominator, but avoid 1, because that’s in the numerator.

by Top Rated User (816k points)

Related questions

1 answer
asked Jan 25, 2019 in Other Math Topics by Jeni | 720 views
2 answers
asked Oct 16, 2014 in Other Math Topics by debbiemom6 Level 1 User (120 points) | 397 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
86,022 questions
91,945 answers
2,237 comments
23,906 users