State whether the following statement is true or false. Explain. The function y = x+ sin x is a periodic function. Choose the correct answer below. O A. True, because the values of the sine function oscillate between - 1 and 1, so the graph of y =x+ sin x oscillates between - 1 and 1. O B. False, because the graph of y =x+ sin x does not repeat its shape at any interval. O C. True, because if f(x) = x+ sin x, then for every x in the domain of f, the function f(x) = f(x+ 2n). O D. False, because the graph of y =x+ sin x repeats its shape at regular intervals, but the function takes on different values over those intervals.

State whether the following statement is true or false. Explain. The function y = x+ sin x is a periodic function. Choose the correct answer below. O A. True, because the values of the sine function oscillate between - 1 and 1, so the graph of y =x+ sin x oscillates between - 1 and 1. O B. False, because the graph of y =x+ sin x does not repeat its shape at any interval. O C. True, because if f(x) = x+ sin x, then for every x in the domain of f, the function f(x) = f(x+ 2n). O D. False, because the graph of y =x+ sin x repeats its shape at regular intervals, but the function takes on different values over those intervals.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 44E

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