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.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

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.

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