Exponential Function Rules
Following are some of the important formulas used for solving problems involving exponential functions:
Rules for Exponential Functions |
|
---|---|
Power of zero rule | a0 =1 |
Negative power rule | a-x = 1/ax |
Product Rule | ax × ay = a(x + y) |
Quotient Rule | ax/ay = a(x – y) |
Power of power rule | (ax)y = axy |
Power of a product power rule | ax × bx=(ab)x |
Power of a fraction rule | (a/b)x= ax/bx |
Fractional exponent rule |
(a)1/y = y√a (a)x/y = y√(ax) |
Article Related to Exponential Functions:
Exponential Functions: Definition, Formula and Examples
Exponential Function is a Mathematical function that involves exponents. It is written in the form f (x) = ax, where “x” is a variable and “a” is a constant. The constant a is the base of the function and it should be greater than 0.
An exponential function is classified into two types, i.e., exponential growth and exponential decay. If the function is increasing then it’s called exponential growth and if the function is decreasing then it’s called exponential decay.
Let’s know more about Exponential Function definition, formula, properties and examples in detail below.
Table of Content
- What is Exponential Function?
- Exponential Function Formula
- Exponential Function Graph
- Exponential Function Series
- Exponential Function Properties
- Domain and Range of Exponential Functions
- Exponential Function Rules
- Exponential Functions Examples