115k views
1 vote
What is the range of f(x)=3^x?

User Lamandy
by
7.7k points

2 Answers

7 votes

Answer:

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.

What is the range of f(x)=3^x?-example-1
User Dwjohnston
by
7.8k points
5 votes

Answer:

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.

User Avinash Mehta
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories