What is the domain of range of y=4 (1/3) ^x

Domain = R

Range = (0, infinity)

Step-by-step 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)