MAT-121 College Algebra Assignment: Solutions and Analysis

This document presents a comprehensive solution set for a College Algebra (MAT-121) assignment. The solutions cover a range of topics, including rewriting quadratic functions in standard form, identifying the vertex, determining minimum or maximum values, finding the axis of symmetry, and calculating the domain and range. The assignment also includes problems applying quadratic functions to real-world scenarios, such as analyzing the attendance and revenue of an athletic stadium based on ticket prices. Additional problems involve finding the general form of a quadratic function given its vertex and a point, analyzing polynomial functions, working with intercepts, and applying concepts of volume, rates of change, and polynomial factorization. Furthermore, the solutions cover topics like finding equations of polynomials given roots and points, polynomial division, complex numbers, and direct and inverse variations.