Learn functions such as linear, quadratic, absolute, hybrid, inverse, composite, trig and master their transformations.
What you will learn
Learn about the fundamental concept of a function
Sketch linear functions including vertical and horizontal lines.
Learn to find the equation of a line from a graph and find the equation of a line from two coordinates.
Calculate the equations of parallel and perpendicular lines.
Solve linear equations simultaneously using substitution and elimination .
Identify and sketch quadratic functions.
Calculate and interpret the discriminant.
Perform transformations of linear, Quadratic and Trigonometric functions.
Understand the concept, graphs and transformations of absolute functions.
Sketch hybrid/piecewise functions and state their domain and range.
Inverse functions.
Graph exponential and logarithmic functions.
Composite functions.
Description
The aim of this course is to provide you with an introduction to and a solid basis for further study in mathematics in the fields of science, mathematics, business, economics and engineering. An understanding of functions, transformations and their applications will give you the skills needed in modeling and lay a foundation for more advanced math and science course.
Learn from a mathematician and master educator in this streamlined course designed to teach you exactly what you need to know. Use the companion student booklet to practice what you have learned as well as checking your responses with the provided worked solutions.
This course will cover
Introduction to functions
Linear Equations
Sketching linear functions
Find the equation of a given line
Parallel and perpendicular lines
Simultaneous equations
Quadratics
The discriminant
Linear transformation
Transformation of quadratics
The Absolute function
Hybrid (piecewise) functions
Inverse Functions
Graphs of exponential and logarithmic functions
Composite functions
Graphs of sine and cosine trig functions
Phase shift
Changing amplitude and period of sine and cosine functions
Vertical shift and putting it all the transformations together
How to get the most out of this course
This course is broken up into small individual sections designed to help you learn exactly what you need to know, maximising your time. View the tutorial video and follow along. Pause and take notes as needed. After each of the tutorial videos you will find a ‘check of understanding’ which consists of 5 questions that relate to the material covered in the video/s. Complete the questions and check your Answers with the worked solutions so you can see how you are progressing.
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