(10pts) Determine whether f is a function or not. Justify your answer. Recall, that R is the set of all real numbers, Z is the set of all integers. (a) ƒ: R →R, f(x) = 29. x+9 (b) f: Z→R, f(x)=√x² +3. (c) f: R→R, f(x) = √x+5. (d) f: Z→R, f(x) = x². (e) f: RZ, f(x) = [r]. Note that f is the ceiling function.
(10pts) Determine whether f is a function or not. Justify your answer. Recall, that R is the set of all real numbers, Z is the set of all integers. (a) ƒ: R →R, f(x) = 29. x+9 (b) f: Z→R, f(x)=√x² +3. (c) f: R→R, f(x) = √x+5. (d) f: Z→R, f(x) = x². (e) f: RZ, f(x) = [r]. Note that f is the ceiling function.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![(10pts) Determine whether f is a function or not. Justify your answer. Recall, that R is the set of all real
numbers, Z is the set of all integers.
(a) ƒ: R →R, f(x) = 29.
x+9
(b) f: Z→R, f(x)=√x² +3.
(c) f: R→R, f(x) = √x+5.
(d) f: Z→R, f(x) = x².
(e) f: RZ, f(x) = [r]. Note that f is the ceiling function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbb54639-2522-4782-91ec-964730db6398%2Fcb157765-fed4-43f6-bf6c-30b80d6df4c0%2Fky5g2db_processed.png&w=3840&q=75)
Transcribed Image Text:(10pts) Determine whether f is a function or not. Justify your answer. Recall, that R is the set of all real
numbers, Z is the set of all integers.
(a) ƒ: R →R, f(x) = 29.
x+9
(b) f: Z→R, f(x)=√x² +3.
(c) f: R→R, f(x) = √x+5.
(d) f: Z→R, f(x) = x².
(e) f: RZ, f(x) = [r]. Note that f is the ceiling function.
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