Constructing sinusoidal functions

4 videos
3 skills
Learn how to find the formula of a sinusoidal function from its graph or a few selected features. Model real-world situations with sinusoidal functions.

How to construct a sinusoidal function from its graph

VIDEO 5:22 minutes
Sal finds the equation of a sinusoidal function from its graph where the minimum point (-2,-5) and the maximum point (2,1) are highlighted.

Construct sinusoidal functions

PRACTICE PROBLEMS
Given a few features of a sinusoidal function, find its formula.

Word problem: Constructing a sinusoidal model using sine

VIDEO 10:55 minutes
Sal solves a word problem about the daily change in temperature by modeling it with a sinusoidal function.

Word problem: Constructing a sinusoidal model using cosine

VIDEO 7:09 minutes
Sal solves a word problem about the annual change in temperature by modeling it with a sinusoidal function.

Model situations with sinusoidal functions

PRACTICE PROBLEMS
Given the description of a real-world relationship, find the sinusoidal function that models it.

Word problem: Constructing a sinusoidal model with phase shift

VIDEO 7:43 minutes
Sal solves a word problem about the annual change in the length of day by modeling it with a sinusoidal function that has a phase shift.

Model situations with sinusoidal functions (including phase shift)

PRACTICE PROBLEMS
Given the description of a real-world relationship, find the sinusoidal function that models it. The functions in this exercise have a phase (horizontal) shift.