Chapter 2 Functions and Graphs

The modulus of a number a, written as IaI, is its non-negative numerical value. So, for example, I5I = 5 and also I-5I = 5. In this lesson you learn about the Modulus Function

A mapping transforms one set of numbers into a different set of numbers. The mapping can be described in words or through an algebraic equation. It can also be represented by a graph.

Two or more functions can be combined to make a new function. The new function is called a composite function.

The inverse of a function performs the opposite operation to the original function. It takes the elements in the range of the original function and maps them back into elements of the domain of the original function. For this reason, inverse functions only exist for one-to-one functions.

In this chapter you learn about sketching the Graph of |f(x)| and y = I f(x) I  and  y = f( IxI , graphs of modulus functions.

You can use combinations of the following transformations of a function to sketch graphs of more complicated transformations. In this section you learn about combining transformations.

You can use combinations of transformations together with If(x)I and f(IxI) and an understanding of domain and range to solve problems. In this lesson you learn about transform the modulus function.