2. Determine whether each function is injective, surjective, bijective. Mark and justify your answers. a. f: Z+Q+ defined by f(n) = n² f is injective / not injective because f is surjective / not surjective because f is bijective / not bijective b. f: R* → R+ defined by f(x) = x² f is injective / not injective because f is surjective / not surjective because f is bijective / not bijective

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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2. Determine whether each function is injective, surjective, bijective. Mark and justify your answers.
a. f: Z+Q+ defined by f(n) = n²
f is injective / not injective because
f is surjective / not surjective because
f is bijective / not bijective
b. f: R* → R+ defined by f(x) = x²
f is injective / not injective because
f is surjective / not surjective because
f is bijective / not bijective
Transcribed Image Text:2. Determine whether each function is injective, surjective, bijective. Mark and justify your answers. a. f: Z+Q+ defined by f(n) = n² f is injective / not injective because f is surjective / not surjective because f is bijective / not bijective b. f: R* → R+ defined by f(x) = x² f is injective / not injective because f is surjective / not surjective because f is bijective / not bijective
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