# Examples of an exponential function

## How do you write an exponential function?

Fixing b=e, we can write the exponential functions as f(x)=ekx. (The applet understands the value of e, so you can type e in the box for b.) Using e for the base is so common, that ex (“e to the x”) is often referred to simply as the exponential function.

## What is an example of exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example,

**3**, etc are some examples of exponential equations.^{x}= 81, 5^{x}^{–}^{3}= 625, 6^{2y}^{–}^{7}= 121## What are the 4 types of exponential functions?

**Alternative Forms for Exponential Growth and Decay**

- Form 1: Base Greater than 1.
- Form 2: Growth or Decay by Given Factor in Given Time.
- Form 3: The Time Constant Form.
- Form 4: The Rate Form.

## What is the function of exponential?

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

**f ( x ) = a**. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.^{x}## What is an exponential function easy definition?

Key Concepts. An exponential function is defined as

**a function with a positive constant other than 1 raised to a variable exponent**. A function is evaluated by solving at a specific input value. An exponential model can be found when the growth rate and initial value are known.## How do you know if it is an exponential function?

The function f(x)=3x is an exponential function;

**the variable is the exponent**. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. In fact, for any real number x, 1x = 1, so f(x)=1x is the same function as the constant function f(x) = 1.## How do you know if an equation is exponential?

Linear and exponential relationships differ in the way the y-values change when the x-values increase by a constant amount: In a linear relationship, the y-values have equal differences. In an exponential relationship,

**the y-values have equal ratios**.## Is y 2x 3 an exponential function?

It is

**not an exponential function**.