Question

What are the domain and range of the function


`f(x) = 4( \sqrt[3]{81} ) ^(x)`
A) x is a real number; y

B) x>4; y>0

C) x; y>4

D) x; y>4

Answer 1

We have the following function:
f (x) = 4 * ((81) ^ (1/3)) ^ x
We observed that:
(81) ^ (1/3) = 4.326748711> 1
Therefore the function grows as it increases and decreases as x decreases.
We have then:
Domain: all reals.
Range: all reals greater than zero.
Answer:
A) x ; y> 0