What is the domain and range of #f(x)=3^x#?

1 Answer
Jul 1, 2017

Answer:

See explanation.

Explanation:

The domain is the maximum subset of #RR#, for which the function's value can be calculated.
Any number can be an exponent of a power, so the domain is

#D=RR#

The range is the set of all values taken by the function.

If you rise #3# to any real power, the result is always greater than zero, so the range is:

#R=(0;+oo)#