Grades 9/10/11 Exponential and Trigonometric Functions
Exponential and sinusoidal functions. Properties, transformations, and applications.
This is one of seven strands of the CEMC Grade 9/10/11 courseware. The other strands and more information about this courseware is available on the Grade 9/10/11 homepage.
The alternative formats for some lessons are currently under construction. These will be completed in the coming months.
Unit 1: Exponential Functions
In this lesson, we discuss the domain, range, intercepts, and asymptotes of a basic exponential function.
In this lesson, we find an equation to describe an exponential function that has undergone reflection, stretch, and translation transformations. We also look at how to graph transformed exponential curves.
Unit 2: Sinusoidal Functions
This lesson explores the effects of vertical and horizontal reflections, stretches, and translations on the properties of sinusoidal functions. We will use these properties to help us graph simple transformations of \(f\left(x\right)=\sin\left(x^\circ\right)\) and \(f\left(x\right)=\cos\left(x^\circ\right)\).
In this lesson, we will combine transformations to graph sinusoidal functions. We will learn to identify the properties of these functions from their equations \(y = a\sin\left(b\left(x -h\right)^\circ\right) + k\) and \(y = a\cos\left(b\left(x -h\right)^\circ\right) + k\).