# What is an exponential function? Give examples. What laws of exponents does it obey? How does it differ from a simple power function like ƒ(x) = xn? What kind of real-world phenomena are modeled by exponential functions?

Question
1 views

What is an exponential function? Give examples. What laws of exponents does it obey? How does it differ from a simple power function like ƒ(x) = xn? What kind of real-world phenomena are modeled by exponential functions?

check_circle

Step 1

To describe the exponential function, law of exponents, describe the difference between exponential function and simple power function, define the real-world phenomena.

Step 2

Explanation:

Exponential function:

An exponential function is a mathematical function of the following form.

F(x) =a x, where x is a variable, and a is the constant called the base of the function.

The most commonly used base is the transcendental number (e) which is equal to approximately 2.71828.

Thus, the exponential function become f(x) = ex

Step 3

Law of exponents:

Let a ≠0 and...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Functions 