Q. 40 In Problems 39 and 40 , find a f... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 6: Q. 40 (page 435)

In Problems 39 and 40 , find a function whose graph is given.

Short Answer

Expert verified

The function is $y = - 7 \sin (\frac{蟺}{4} x)$

Step by step solution

Given information

Given graph

Identify the amplitude

From the graph that it has an amplitude of $7$ . We can also see that it starts from $(0, 0)$ , therefore, we can say that it is a sine function. We can also see that instead of the normal sine that it goes up, it goes down which means that it is a negative sine function. A sine function takes the form $y = A \sin (蝇 x - 蠒) + B$ . We can see that the period of cosine is 8 therefore we are going to use the formula $T = \frac{2 蟺}{蝇}$

$T = \frac{2 蟺}{蝇} 8 = \frac{2 蟺}{蝇} 蝇 = \frac{蟺}{4}$

Checking the phase shift and forming the function

We can safely assume that $蠒$ and $B$ is 0 since there is no phase shift in the graph and there are no vertical translations. Listing the values that we have and $B = 0$ . The function of the graph is

$y = - 7 \sin (\frac{蟺}{4} x)$

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91影视

In Problems 39 and 40 , find a function whose graph is given.

Short Answer

Step by step solution

Given information

Identify the amplitude

Checking the phase shift and forming the function

One App. One Place for Learning.

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