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Chapter 6: Q. 69 (page 411)

Find an equation for each graph.

Short Answer

Expert verified

Equation for the graph is:

y=-sin32x

Step by step solution

01

Step 1. Inspecting the y-intercept

Referring to the given graph the type of sinusoid can be determined immediately by inspecting its y- intercept if its at a maximum(highest point) and a minimum(lowest point) or neither

At its y-intercept neither maximum or nor minimum, then the graph is a sine function and the minimum occurs before the maximum hence,

A<0

02

Step 2. Find the amplitude and period

From the graph, ymin=-1ymax=1

role="math" localid="1646377759931" A=-12(ymax-ymin)A=-12(1-(-1))A=-12(2)A=-1A=1

Using the maximum at 蟺3, the next maximum occurs at5蟺3

Therefore,

T=4蟺3

03

Step 3. Solve for the equation

蝇=2蟺T蝇=2蟺脳34蟺蝇=32

Therefore, the equation of the graph is

y=-sin32x

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Most popular questions from this chapter

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