Question

-5л

-47
-3μ
-27
5
-4-
3-
-2-
1
-π 0
-1-
-2
-3
ग 27
5
3л
47
X
57
Write your answer in the form f(x) = Asin (Bx + C) + D, where A, B, C, and D are real
numbers.

Answer 1

The given set of values can be represented by
`\(f(x) = 5\sin(2x + \pi) - 1\)`, where (A = 5), (B = 2), (C =
`\pi`), and (D = -1). This form encapsulates the periodic behavior of the data with specific characteristics.

To express the given set of values in the form
`\(f(x) = Asin(Bx + C) + D\)`, we can identify patterns and intervals. The periodicity and symmetry of the sine function make it suitable for modeling the data. Considering the symmetry around the y-axis, we can use a sine function with an amplitude, frequency, phase shift, and vertical shift.

Analyzing the provided values, a potential representation is
`\(f(x) = 5\sin(2x + \pi) - 1\)`. Here, the amplitude A is 5, frequency B is 2, phase shift C is
`\pi`, and vertical shift D is -1.

The question probable may be:

Given the set of values: -5, -47, -3, -27, 5, -4, 3, -2, -1,
`-\pi`, 0, -1, -2, -3, 27, 5, 3, 47, X, 57, express these values in the form
`\(f(x) = Asin(Bx + C) + D\)`, where A, B, C, and D are real numbers.