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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1.1 - Problem 55e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1.1 - Problem 55e

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# Explain why or why not Determine whether the | Ch 1.1 - 55E

ISBN: 9780321570567 2

## Solution for problem 55E Chapter 1.1

Calculus: Early Transcendentals | 1st Edition

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Problem 55E

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The ?ra?nge? of? ?f? ) ? 2x? ? 38 is all real numbers. b. ? h?e rel?ation f? ? ) ? ? 6+ 1 is n? ot a funct?ion bec ? ause f? (1) = ? (? 1) = 2. ? ? ? c. If?? ? )? ? ?1,? t? en ?f(1/?x) = 1?/f? ). ? ? ? d. In? g?eneral, f ? (?f(?x)) =? ? ))2. ? ? ? e.? I?n ?general, ? (?? )) ?= g(f? ? )). ? ? ? ? f.? In?general, f ? (?g? )) = (?f ° ?g)? ). ? ? g. If ? ?? )is? an even function, then ?c f(?ax?)is an?even function, where a ? and ?c are real numbers. ? ? ?h.? If ?? )is an odd function, then f ? (? )? d is an odd function, where d ? is a real number. ? ? ? ? i.?If ?f is both even a ? nd odd, then ?f(x ? ) = 0 for all x ? .

Step-by-Step Solution:

Step-by-step solution Step 1 of 9 (a) Different functions have defined domain by its definition. In this case f is polynomial function and the range of all polynomial functions is all reals numbers . Therefore, the answer is true.

Step 2 of 9

Step 3 of 9

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Explain why or why not Determine whether the | Ch 1.1 - 55E