Question

explain the limitations on the base of an exponential function.

Answer 1

limitations

Answer 2

?

Answer 3

i know only one
\[\LARGE a^0 \; \; \text{and}\; \; a \ne 0\]

Answer 4

because \[\Large 0^0 \longrightarrow\text{indeterminate}\]

Answer 5

Also the base cannot be 1 correct?

Answer 6

it can be 1

Answer 7

1 raised to 0 is 1

Answer 8

the base cannot be negative though

Answer 9

No, because then their is no graph. The graph becomes the linear function f(x) = 1 since 1 raised to any power equals 1. Since it is a linear function, it cannot also be an exponential function. Consequently exponential functions cannot have a base of 1.

Answer 10

It should be greater than 0. All other bases result in branch cuts in the complex plane.

Answer 11

\[\LARGE a^x \; \; \text{and} \; \; a \ge 0\]

Answer 12

you raise a good point

Answer 13

i think i do remember something like that before