Find the domain of the exponential function f(x) = -2(3)^x.
A. Any real numbers
B. Positive real numbers
C.Negative real numbers
D. Non-zero real numbers

Question

Find the domain of the exponential function f(x) = -2(3)^x. 
A. Any real numbers
B. Positive real numbers
C.Negative real numbers
D. Non-zero real numbers

tkhunny · Answer

Domain...  Is that the values that go in or the values that come out?

anonymous · Answer

So would it be b then?

tkhunny · Answer

Why is there a restriction at all?

anonymous · Answer

Because i dont know how to do these types of questions

tkhunny · Answer

Positive exponents are okay.
Negative exponents are okay.
Zero exponents are okay.

tkhunny · Answer

Generally, it is an elimination process for the Domain.  As a general rule, just start with "All Real Numbers" and see if you need to eliminate anything,

tkhunny · Answer

A few quick examples:

f(x) = e^x -- No restriction
g(x) = 1/(x-2) -- Well, we'd better not try x = 2
h(x) = log(x) -- By definition, x > 0
r(x) = 2x+5 -- No restriction.
s(x) = sqrt(x) -- x >= 0