Math Assignment: Analyzing Function Properties and Graphs

This assignment solution provides a detailed analysis of several mathematical functions, exploring their properties. The solution covers rational functions, absolute value functions, and piecewise functions, examining their domains, ranges, intercepts (x and y), asymptotes, and intervals of increasing and decreasing behavior. The analysis includes the calculation of slopes and the identification of key characteristics. The assignment also includes graphical representations to illustrate the behavior of the functions. The solution provides a comprehensive understanding of function properties and their graphical interpretations, referencing external resources for further clarification.