#4. iii and iv. Thanks. iii Let f(x) be any continuous function and f(c) > 0 for some c. Find an interval (a, b)containing c such that f(x) > 0 for all z € (a, b).iv Give an example of a function f(x) such that f(c) > 0 and f(x) < 0 for all æ in anyinterval containing c. Hint: See an identical problem in the notes and mimic the proof.(This says that the continuity is essential to the property in iii)

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iii Let f(x) be any continuous function and f(c) > 0 for some c. Find an interval (a, b) containing c such that f(x) > 0 for all z € (a, b). iv Give an example of a function f(x) such that f(c) > 0 and f(x) < 0 for all ar in any interval containing c. Hint: See an identical problem in the notes and mimic the proof. (This says that the continuity is essential to the property in iii)

iii Let f(x) be any continuous function and f(c) > 0 for some c. Find an interval (a, b) containing c such that f(x) > 0 for all z € (a, b). iv Give an example of a function f(x) such that f(c) > 0 and f(x) < 0 for all ar in any interval containing c. Hint: See an identical problem in the notes and mimic the proof. (This says that the continuity is essential to the property in iii)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 52E

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