Question

A sinusoidal function whose frequency is 1/6pi

Answer 1

Answer:

B. $f(x)=9\sin (\frac{x}{3})+3$

Step-by-step explanation:

We are given that,

The frequency of the function is $\frac{1}{6\pi}$

The maximum and minimum value is 12 and -6.

Also, the y-intercept is 3.

From the options, we have,

Options C and D have minimum value 6. So, they does not represent the given function.

We know, 'If a function has a period P, then the function $a+f(bx+c)$ will have the period $\frac{P}{|b|}$.

Also, 'The frequency is the reciprocal of the period'.

So, function $a+f(bx+c)$ will have the frequency $\frac{|b|}{P}$.

From the options, we see,

Option B have the frequency, $\frac{\frac{1}{3}}{2\pi}$ i.e. $\frac{1}{6\pi}$.

Option A have the frequency, $\frac{6\pi}{2\pi}$ i.e. 3

Thus, option A is not correct.

Hence, option B is the required sinusoidal function.

Answer 2

Answer:

The answer is B

Step-by-step explanation:

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