math 1148 (MATH1148)

This document provides a complete guide to analyzing graphs of functions. It covers symmetry (x-axis, y-axis, and origin), with clear rules and symmetry tests. It explains how to identify even and odd functions, and gives steps for working with piecewise-defined functions, including how to evaluate and graph them. You’ll also find guidance on analyzing increasing/decreasing behavior and locating relative maxima and minima. Perfect for mastering graph analysis in a clear, organized way!

This document covers all the essential graph transformations you need to know, including: key rules for reflections, translations (horizontal and vertical shifts), and stretches/shrinks (both vertical and horizontal). It explains how changes inside vs. outside the function affect the graph and summarizes the core formulas for quick reference. Perfect for fast review or exam prep!

This document is a recitation practice sheet related to Section 2.5, focusing on linear equations and their properties. It includes: Practice with finding y-intercepts and x-intercepts. Solving equations like (

This document focuses on applications of linear equations and mathematical modeling. It covers: Point-slope form of a line (e.g.,

This document is a math lesson on linear equations in two variables and linear functions. It covers: The basic form of linear equations (e.g., 3x + y = 9) and how these represent lines on the xy-plane. How to find x- and y-intercepts. The definition and calculation of the slope of a line, with worked examples. Special cases like horizontal and vertical lines. The slope-intercept form of a line (y = mx + b) and how to rewrite equations into that form. The concept of average rate...

This folder contains comprehensive lecture notes for Math 1148, covering key topics in pre-calculus and introductory algebra. The materials provided offer in-depth explanations, examples, and problem-solving strategies. These lecture notes provide a solid foundation for mastering these essential mathematical concepts and are designed to support students in their coursework and study for exams. The notes are organized for easy navigation, with clear explanations, worked-out examples, and practice...