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Chapter 6: Q. 26 (page 409)

In Problems 21鈥�30, match the given function to one of the graphs (A)鈥� (J).

2sin12x

Short Answer

Expert verified

The graph of the given function is graph (B)

Step by step solution

01

Step 1. Given information

The trigonometric function is:

y=2sin12x

02

Step 2. To determine the amplitude and period of the sinusoidal function. 

By comparing given function 2sin12xwith standard sinusoidal function Asin(蝇x)

We get amplitude A=2

Time period is localid="1646472580457" T=2蟺蝇T=2蟺12T=4蟺

So the graph of the given function will have time period 4蟺and amplitude 2

03

Step 3. To find value of function at y-axis.

At y-axis

x=0

So, localid="1646472618801" y=2sin12.0y=2sin0y=2.0y=0

When x=0

then y=0

Now look at the given graphs from A-J we can see that

graph (B) has amplitude 2 , time period 4蟺and passing point (0,0)

So the graph for given function is graph (B)

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