Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
2nd Edition
ISBN: 9780618912407
Author: MCDOUGAL LITTEL
Publisher: Mcdougal Littel
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Expert Solution & Answer
Chapter 10.5, Problem 2E
Solution
To state: Two methods that can be used to model a sinusoid.
The two methods are: write a sine or cosine function and use a graphing calculator
Given information:
The given statement says to describe two methods that can be used to model a sinusoid.
Explanation:
Method 1: To model a sinusoid, write a sine or cosine function to find the values of
Here
First find the maximum value M and the minimum value m . Then identify the vertical shift k .
The value of k is the mean of the maximum and minimum values.
The vertical shift is:
Now decide whether the graph should be modeled by a sine or a cosine function.
When
When the graph crosses the midline on y -axis the graph is sine curve with no horizontal shift. Thus the value of h will be 0.
Now find the amplitude and period.
If the graph is a reflection, the value of
Now substitute all the values in the following function:
Method 2: Another method is to use a graphing calculator that has a sinusoidal regression feature.
The main benefit of this method is that it uses all the data points to find the model.
First of all enter the data in a graphing calculator.
Make a scatter plot.
Perform a sinusoidal regression, because the scatter plot appears sinusoidal.
Now graph the model and the data in the same viewing window.
Chapter 10 Solutions
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
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