TutorVideo

Math Made Simple – Aligned with CAPS

Functions: Formal definition, Inverses, exponential and Logarithmic

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1. Definition of a function

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In this video, you will quickly learn the Definition of a Function. Discover how every input maps to exactly one output using simple diagrams and ordered pairs. You will also master the Vertical Line Test to identify functions on a graph instantly. Short, clear, and perfect for fast exam revision!

Subtopics:

  1. 1. Definition of a function

    In this video, you will quickly learn the Definition of a Function. Discover how every input maps to exactly one output using simple diagrams and ordered pairs. You will also master the Vertical Line Test to identify functions on a graph instantly. Short, clear, and perfect for fast exam revision!

  2. 2. Introduction to Inverse Functions

    In this video, you will master the step-by-step process of finding and graphing Inverse Functions. Learn how to switch your x and y variables, solve for the new output, and restrict domains for functions like parabolas to keep them valid. You will also see how inverse graphs perfectly reflect across the diagonal line y = x, making tricky reflections easy to visualize and apply.

  3. 3. How to Restrict the Domain so the Inverse is a Function

    In this video we discuss 2 examples to show you how to restrict the domain so that the inverse is a function. We discuss the vertical and horizontal line test, domain and range, graphically what the inverse of the function looks like, and more.

  4. 4. Inverse Functions - Domain & range- With Fractions, Square Roots, & Graphs

    This algebra video tutorial explains how to find the inverse function and express the domain and range using interval notation. It includes examples with fractions, square roots, and graphs.

  5. 5. Exponential function

    This video reviews standard exponential graphs and their properties. Learn to identify exponential growth and decay quickly. Discover how different parameters shift graphs vertically and horizontally. Master finding intercepts and the horizontal asymptote. We also cover finding inverse logarithmic functions step-by-step. Finally, we solve real exam-level past paper questions. Perfect for matric Paper 1 preparation.

  6. 6. Logarithmic Functions

    This video reviews inverse graphs and their core properties. Learn to switch between exponential and logarithmic forms quickly. Discover how base values change the shape of the curve. Master finding the vertical asymptote and the x-intercept. We also cover reflections across the diagonal axis step-by-step. Finally, we solve real exam-level past paper questions. Perfect for matric Paper 1 preparation.