Question

What is the domain of f(x)=3^x

Answer 1

Answer: B. All real numbers

Explanation:

f(x) = 3ˣ

There is NO restriction on x .

x can be positive, negative, fractions, square roots, etc.

--> x is All Real Numbers.

Note: There IS a restriction on f(x) --> f(x) > 0

Answer 2

B

Explanation:

This is an exponential function. These types of functions have asymtotes. Asymtotes are when x or y is approaching a specific value, but it's not touching it. If you put your function in a graphing calculator, you will find that the y is approaching 0, but it's not quite touching it. What we're looking for, however is domain (x), and there are no asymtotes for x because as you can see, every value on the x axis has a y point. Therefore the domain is all real numbers.