Question

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

Answer 1

Answer:

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)