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Question
Hi, can you please help with this:  I can't find an equation for the exponential function that has the x-axis as an asymptote.

Many thanks for your help with this!

Answer
exp
exp
Questioner:Oliver
Country:Quebec, Canada
Category:Advanced Math
Private:No
Subject:Exponential Functions

Question:

Hi, can you please help with this:  I can't find an equation for the exponential function that has the x-axis as an asymptote.

Many thanks for your help with this!
......................................
Did you look on page 277?  (Just kidding, of course.)

How about y = e^x?  It's asymptotic to the x-axis on the left.

How about y = e^(-x)?  It's asymptotic to the x-axis on the right.

How about y = e^(-x^2)?  It's asymptotic to the x-axis on both sides.

Paul Klarreich

Expertise

I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience

I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

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