This document presents a comprehensive solution set for MATHS121 Assignment 2, a foundation course in pure mathematics. The assignment covers topics from Block II and III, focusing on function analysis, including cost and quadratic functions. The solutions include detailed steps for each question, such as sketching cost functions, calculating total costs, determining the turning point of quadratic equations, finding points of intersection with the x and y-axis, and analyzing the range and domain of different functions. The document also addresses problems involving composite functions, series summation, and proofs related to function properties like injectivity and surjectivity. Furthermore, it includes probability calculations and solutions to mathematical statements, all supported by relevant references.
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