Question

what are the limitations on the base of an exponential function?

Answer 1

y = bⁿ

b can't be 0 since this yields undefined solutions for y function.

I hope this helps!

Answer 2

so the limitation would be 0 ?

Answer 3

It can, but zero to the power of anything is still zero.

Answer 4

yep!

Answer 5

but 100000^0 = 1

Answer 6

Yup

Answer 7

You need to be careful too

Answer 8

if it is negative

Answer 9

if the base is negative, then you could have an imaginary value for y

Answer 10

@Jshakour did u understand!

Answer 11

for example if the base is -1, -1^(1/2) is the square root of minus 1

Answer 12

so how could i explain this? Something like, The limitations can be zero since it could be a undefined solution?

Answer 13

which is i

Answer 14

I would say that you will not have a range other than 0 (y will always be 0 if the base is 0)

Answer 15

wait, nope think about this

Answer 16

oh okay i got it! Thank you !

Answer 17

\[0^{-1}=\frac{1}{0}\]

Answer 18

which is undefined

Answer 19

So that is certainly a limitation

Answer 20

okay i think i know what to say now, thank you so much !!

Answer 21

yup