Which of the following statements is/are TRUE? I. Periodic function is a function that repeat its pattern at some period. A periodic function II. III. f(x)= x+1, is an odd function. Given a periodic function -x+1, f(x) = x+1, O II and III OI and III -1

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 1T: Which of the following are graphs of functions? If the graph is that of a function, is itone-to-one?
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Which of the following statements is/are TRUE?
I. Periodic function is a function that repeat its pattern at some
period.
A periodic function
(1,
II.
-1<x<0
f(x)= x+1, 0<x< 1
f(x+2)
is an odd function.
III. Given a periodic function
|-x+1,
−1<x<0
f(x)= x+1, 0<x<1
f(x + B)
Therefore 3=-2.
IV. A function f(x)= 3x³ + x sin" (3x) is an odd function if ʼn is an
even number.
II and III
I and III
II and IV
I and IV
Transcribed Image Text:Which of the following statements is/are TRUE? I. Periodic function is a function that repeat its pattern at some period. A periodic function (1, II. -1<x<0 f(x)= x+1, 0<x< 1 f(x+2) is an odd function. III. Given a periodic function |-x+1, −1<x<0 f(x)= x+1, 0<x<1 f(x + B) Therefore 3=-2. IV. A function f(x)= 3x³ + x sin" (3x) is an odd function if ʼn is an even number. II and III I and III II and IV I and IV
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