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## Examples of Exponential Function Problems

The exponential function is one of the most important functions in mathematics. To form an exponential function, we make the independent variable the exponent. These functions are used in many real-life situations. They are mainly used for population growth, compound...

## Transformations of Trigonometric Functions

There are several transformations of trigonometric functions with which we can switch to the graphs of the standard trigonometric functions. We can make changes in the amplitude, in the period, in the phase of the function. We can also perform vertical translations...

## Composition of Functions – Example and Practice Problems

A composition of functions is formed by taking the outputs of one function and converting them into the inputs of another function. These functions can be very useful when we have to model different processes with different functions. Here, we will explore a brief...

## Inverse Functions – Example and Practice Problems

An inverse function is a function that will reverse the effect produced by the original function. These functions have the main characteristic that they are a reflection of the original function with respect to the line y = x. The coordinates of the...

## Symmetry of Functions – Example and Practice Problems

Functions have two main types of symmetry. If the function is even, its graph will be symmetric about the y-axis. If the function is odd, its graph will be symmetric with respect to the origin. Here, we will look at a summary of these types of function symmetry....

## Domain and Range – Example and Practice Problems

The domain can be calculated by finding the set of all possible values for the independent variable, usually x. The range can be calculated by finding the set of all possible values for the dependent variable, generally y. Here, we will look at a summary of...