1. Lesson 2

1.11. Explore 7

Mathematics 30-2 Module 6

Module 6: Sinusoidal Functions

 

Sinusoidal functions can be used to model many scenarios that involve the regular increase and decrease of a value. In the next activity, you will explore how daily average temperatures can be modelled and compared.

 

Try This 5

 

At the beginning of the lesson, you saw a mean daily temperature graph for Calgary. Use this information to answer the following questions.

 

This is a graph showing the mean daily temperature by month for Calgary.

  1.  
    1. Predict two months where the mean daily temperature is 5°C.
    2. What is the mean daily temperature for March?

  1.  
    1. Estimate the maximum and minimum values for the graph. Describe what each of these represents.
    2. Estimate the period of the graph. What does this represent?
    3. Estimate an equation for the midline. What does this represent?

  1. Sketch another cycle of this graph. How is this cycle related to the original?
  2. Describe how this graph would differ from one drawn for Whitehorse and one drawn for Miami.

course folder Save your responses in your course folder.