Find an equation for the sine graph, f(x): fx 3 2 -360° -180° 180° 360° -1 -2 -3 -4 Write your answer in the form f(x) = A sin (Bx + C) + D, where A, B, C, and D are real numbers. f(x) %3D sin

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Refer to the picture below. 

**Find an Equation for the Sine Graph, f(x):**

The goal is to determine the equation of the sine function shown in the graph. The equation should be in the form of:
\[ f(x) = A \sin(Bx + C) + D \]
where \(A\), \(B\), \(C\), and \(D\) are real numbers.

**Graph Description:**
- The graph is plotted on a Cartesian plane with \(x\)-axis ranging from \(-360^\circ\) to \(360^\circ\) and \(y\)-axis ranging from \(-4\) to \(4\). 
- The graph of the sine function is drawn in purple and exhibits one full cycle between \(-360^\circ\) and \(360^\circ\).
- The wave intersects the \(y\)-axis at \(y = 0\) and has its maximum at \(y = 2\) and minimum at \(y = -2\).
- The sine wave starts from \(y = 0\) at \(x = -360^\circ\), reaches the minimum at \(x = -180^\circ\), returns to \(y = 0\) at \(x = 0\), reaches the maximum at \(x = 180^\circ\), and again returns to \(y = 0\) at \(x = 360^\circ\).

**Instructions:**
Write the equation of the sine function in the box provided below the graph. The answer should follow the specified format.

\[ f(x) = \]

Use the provided buttons to insert sine function elements such as \(\sin\), parentheses, and the degree symbol.
Transcribed Image Text:**Find an Equation for the Sine Graph, f(x):** The goal is to determine the equation of the sine function shown in the graph. The equation should be in the form of: \[ f(x) = A \sin(Bx + C) + D \] where \(A\), \(B\), \(C\), and \(D\) are real numbers. **Graph Description:** - The graph is plotted on a Cartesian plane with \(x\)-axis ranging from \(-360^\circ\) to \(360^\circ\) and \(y\)-axis ranging from \(-4\) to \(4\). - The graph of the sine function is drawn in purple and exhibits one full cycle between \(-360^\circ\) and \(360^\circ\). - The wave intersects the \(y\)-axis at \(y = 0\) and has its maximum at \(y = 2\) and minimum at \(y = -2\). - The sine wave starts from \(y = 0\) at \(x = -360^\circ\), reaches the minimum at \(x = -180^\circ\), returns to \(y = 0\) at \(x = 0\), reaches the maximum at \(x = 180^\circ\), and again returns to \(y = 0\) at \(x = 360^\circ\). **Instructions:** Write the equation of the sine function in the box provided below the graph. The answer should follow the specified format. \[ f(x) = \] Use the provided buttons to insert sine function elements such as \(\sin\), parentheses, and the degree symbol.
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