Find the domain and range of f (x) = 3^x

Domain: all real values of x

Range: f (x) > 0

Step-by-step explanation:

f (x) = 3^x

There's no domain restriction, so x can take any real value

Tye graph f (x) has a horizontal asymptote at y = 0 because with a positive base, the output can never be 0 or negative

Hence the range is y > 0

Below in bold.

Step-by-step explanation:

x can have any real value - the domain is (-∞, ∞).

f (x) cannot be 0 or negative, no matter how negative x is, - the range is (0, ∞)