Question

explain the limitations on the base of an exponential function.

Answer 1

gotta be bigger than 0, can't be 1

Answer 2

And...?

Answer 3

and what?

Answer 4

why the heck i can't hit good answer? >_<

Answer 5

that is it. must be bigger than 0 (aka positive) and cannot be 1

Answer 6

you need reasons for these?

Answer 7

why that cannt be 1?

Answer 8

because if the base is 1 it is not an exponential function, it is the constant function
\[f(x)=1^x=1\]

Answer 9

Q2:
explain how the graphs of exponential functions are different from the other functions you’ve studied (e.g., linear, quadratic, cubic, rational, etc.)

Answer 10

there are many differences. exponential functions model things that grow or decay proportional to their current amount.
if the base is positive as x gets large f grows faster than any polynomial.

Answer 11

what is this an essay question?

Answer 12

No, just for 2 points

Answer 13

Thanks for helping