14) If 0b". 15) If e* >0 then k>0 and x>0. 16) f(x)=e is an increasing function if k>0 and a decreasing function if k<0.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer with true or false for questions 14,15, and 16! Thanks!

14) If 0<b<1 and x<y, then b* >b'.
15) If e* >0 then k>0 and x>0.
16) f(x)= ex is an increasing function if k>0 and a decreasing function if k<0.
17) (In x³)=3 lnx for all x in (0,∞).
18) If a>0 and b>0 then In(a+b) = ln a + ln b
Transcribed Image Text:14) If 0<b<1 and x<y, then b* >b'. 15) If e* >0 then k>0 and x>0. 16) f(x)= ex is an increasing function if k>0 and a decreasing function if k<0. 17) (In x³)=3 lnx for all x in (0,∞). 18) If a>0 and b>0 then In(a+b) = ln a + ln b
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