Lesson 1.2 – Basics of Functions | MCV4U Calculus and Vectors скачать в хорошем качестве

Lesson 1.2 – Basics of Functions | MCV4U Calculus and Vectors

📘 Lesson 1.2 – Basics of Functions | Functions & Graphs Explained Link to the Online Class: https://sites.google.com/canadaonline... In Lesson 1.2: Basics of Functions, we build a strong visual and conceptual understanding of how different types of functions behave and how their graphs change. This lesson focuses on recognizing function families, interpreting graphs, and understanding transformations. 🔍 Topics Covered in This Lesson: Review of linear functions and constant rate of change (slope) Interpreting slope as real-world change (distance vs. time) Polynomial functions and end behavior Power functions and symmetry (even vs. odd) Finding zeros using the quadratic formula Rational and root functions Domain and range constraints (division by zero, even roots) Transcendental functions: Trigonometric Exponential Logarithmic Piecewise-defined functions (including absolute value) Step functions and real-life applications Function transformations: Vertical & horizontal shifts Scaling and reflections Order of transformations (why sequence matters) Graphing a complex transformed function step by step 🎯 Who This Lesson Is For: High school math students Pre-calculus students Teachers and tutors Anyone wanting a clear, visual explanation of function behavior ✏️ Learning Goal: By the end of this lesson, you will be able to identify function types, analyze their graphs, apply transformations correctly, and understand how functions model real situations. 📌 Tip: Pause the video and sketch each graph as it appears to strengthen understanding.