for the following problem determine whether the equation represents continues growth or decay or neither, explain

y=150(e)^3.25/t

I know it can’t equal to zero , and if you graph this we will have a vertical asymptote at zero
so I think the answer is Neither growth nor decay but I still don’t understand how it can still be considered an exponential function without growth or decay.

do you know any real application where we would need to divide the exponent with a variable?

Question

for the following problem  determine whether the equation represents continues growth or decay or neither, explain 

y=150(e)^3.25/t 

I know  it can’t equal to zero , and if you graph this  we will have a vertical asymptote at zero 
so I think the answer is Neither growth nor decay but I still don’t understand how it can still be considered an exponential function without growth or decay.

do you know any real application where  we would need to divide the exponent with a variable?

sooobored · Answer

you know the limit as t approaches 0,  what happens to the limit as t approaches infinity?

just looking at the 3.25/t part

3mar · Answer

It is obvious that this function is always decaying; because the the y-value decreases as x-value increases!

3mar · Answer

https://www.desmos.com/calculator/er3jgolsib

3mar · Answer

@sam_pi

sam_pi · Answer

no the function should be written as$$y=150(e)^{\frac{ 3.25 }{ t }}$$

3mar · Answer

Oh sorry
One minute, please!

3mar · Answer

https://www.desmos.com/calculator/6flbpesw1c It is also decays because y decreases when x increases! Got it?

3mar · Answer

@sam_pi

sam_pi · Answer

so when it will be neither ?

sam_pi · Answer

and do you know when a problem like this would be needed ? most other problems I've seen you need to multiplay the variable with the exponent not divide it

sam_pi · Answer

**multiply

3mar · Answer

When it is a constant value like y=5 or even has a local maxima or minima!
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