1. (20 points) Please answer the following two questions by taking advantage of the periodicity. (a) (10 points) Suppose f is a periodic function with period 2L. If f(x) = L - x for −L < x < L, then find the formula for f(x) in the interval L < x < 2L. Hint: for any L < x < 2L, it holds that −L < x − 2L < 0. (b) (10 points) Suppose f is a periodic function with period 2. If f(x) = (x+1 -1

1. (20 points) Please answer the following two questions by taking advantage of the periodicity. (a) (10 points) Suppose f is a periodic function with period 2L. If f(x) = L - x for −L < x < L, then find the formula for f(x) in the interval L < x < 2L. Hint: for any L < x < 2L, it holds that −L < x − 2L < 0. (b) (10 points) Suppose f is a periodic function with period 2. If f(x) = (x+1 -1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 35RE

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If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.

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