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Miscellaneous Functions

In this chapter, we discuss the graphs of absolute value functions, piecewise functions, and step functions.

Absolute value functions, have a V shaped graph since the absolute value prevents the argument from taking on negative values. The chapter discuss how we can graph absolute value functions and solve absolute value equations.

Piecewise functions are functions defined by different rules for different parts of the domain. We explain how to graph such functions and identify different points that fall on them by analyzing the domain. A specific type of a piecewise function is a step-function. These types of functions are defined by a constant value on each part of its domain which gives them their specific look.

An inverse function undoes the underlying function it was created from. For example, x squared and the square root of x. The chapter shows how to find the inverse of a function and how their graphs relate to the original function. It also discusses how to identify functions that are invertible which means functions whose inverse is also a function.

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