How do you find the asymptote of an exponential function?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

5
Feb 20, 2016

Answer:

There is no vertical asymptote, as #x# may have any value.

Explanation:

For the horizontal asymptote we look at what happens if we let #x# grow, both positively and negatively.

#x->+oo#
The function will be greater without limit. No asymptote there.

#x->-oo#
The function will get smaller and smaller, not ever quite reaching #0#, so #y=0# is an asymptote, or in 'the language':

#lim_(x->-oo) f(x)=0#
graph{0.1*e^x [-30.37, 20.96, -12.52, 13.15]}

Was this helpful? Let the contributor know!
1500
Impact of this question
6773 views around the world
You can reuse this answer
Creative Commons License