Question

What is the range of f(x)=3^x?

Answer 1

The range of the function f(x) is:

(0,∞)

Explanation:

Range of a function--

The range of a function is the set of all the values that are attained by a function.

We are asked to find the range of the function f(x) which is given by:

`f(x)=3^x`

We know that an exponential function is always a continuous function and takes the set of values as x>0

Hence, the range of the function is given by:

(0,∞) i.e. { the set of all the real values which are strictly greater than zero }

Also we may see by the graph of the function.

Answer 2

In interval notation: (0, ∞)

Explanation:

Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.