Asked Jan 12, 2020

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?


Expert Answer

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



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

Calculus homework question answer, step 2, image 1
Step 3

Law of exponents:

Let a ≠0 and...

Calculus homework question answer, step 3, image 1

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