i Let f(x) = x³ and c = = 0.01. Find an interval (a, b) containing c such that f(x) > 0 for all x € (a, b). ii Let f(x) = x³. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that f(x) > 0 for all x € (a, b).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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4.
i Let f(x) = x³ and c = 0.01. Find an interval (a, b) containing c such that f(x) > 0 for
all x € (a, b).
ii Let f(x) = x³. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that
f(x) > 0 for all x = (a, b).
Transcribed Image Text:4. i Let f(x) = x³ and c = 0.01. Find an interval (a, b) containing c such that f(x) > 0 for all x € (a, b). ii Let f(x) = x³. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that f(x) > 0 for all x = (a, b).
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