For each of the following functions, determine whether the function is: • Injective (one-to-one) • Surjective (onto) • Bijective Justify your answers. a f: ZZ such that f(x) = 4x bf: Z→ Z such that f(x) = x³ cf: Z→ Z such that f(x) = [-4] df: R R such that f(x)=3 ef: Z+ x Z+ → Z+ such that f(x, y) = 2 + y
For each of the following functions, determine whether the function is: • Injective (one-to-one) • Surjective (onto) • Bijective Justify your answers. a f: ZZ such that f(x) = 4x bf: Z→ Z such that f(x) = x³ cf: Z→ Z such that f(x) = [-4] df: R R such that f(x)=3 ef: Z+ x Z+ → Z+ such that f(x, y) = 2 + y
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter13: Overloading And Templates
Section: Chapter Questions
Problem 30SA
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
Transcribed Image Text:For each of the following functions, determine whether the function is:
• Injective (one-to-one)
• Surjective (onto)
• Bijective
Justify your answers.
![a f: ZZ such that f(x) = 4x
bf: Z→ Z such that f(x) = x³
cf: Z→ Z such that f(x) = [-4]
df: R R such that f(x)=3
ef: Z+ x Z+ → Z+ such that f(x, y) = 2 + y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0dac0b6-5a17-4cd9-bac9-9e2e50ac9cbc%2F4d38746d-40cb-4d4d-97bc-21512fda761b%2F8z4fxqg_processed.png&w=3840&q=75)
Transcribed Image Text:a f: ZZ such that f(x) = 4x
bf: Z→ Z such that f(x) = x³
cf: Z→ Z such that f(x) = [-4]
df: R R such that f(x)=3
ef: Z+ x Z+ → Z+ such that f(x, y) = 2 + y
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