Given:
The function is
[tex]f(x)=4(\sqrt[3]{81})^x[/tex]
To find:
The domain and range of the given function.
Solution:
Domain is the set of input values.
Range is the set of output values.
We have,
[tex]f(x)=4(\sqrt[3]{81})^x[/tex]
It is an exponential growth function, where the initial value is 4 and the growth factor is [tex](\sqrt[3]{81})[/tex].
We know that the exponential function is defined for all real values of x. so,
Domain = { x | x is a real number}
In the given function 4>0 and [tex](\sqrt[3]{81})^x>0[/tex] for all real values of x. So,
Range = {y | y > 0}
Therefore, the correct option is A.
Answer:
A {x| x is a real number}; {y| y > 0}
Step-by-step explanation:
Edge 2021
