Answer:
Domain = R
Range =(0,infinity)
Explanation:
Given a function as
y = 4(1/3)^x
The function does not have x or y in the denominator or any square root sign.
Hence we can assign any values to x.
Domain = R = Set of all real numbers = (-infinity, infinity)
Let us consider range.
We find that 4(1/3)^x is a multiple of 4 and powers of 1/3
Since power of 1/3 is always positive, y cannot take any negative value.
When x=0 y =4.
When x tends to -infinity, y tends to 0
So y cannot take the value 0 except at -infinity.
Range =(0,infinity)