1. Recall the definition of injection, surjection, and bijection given in Chapter 10. Establish which ones of the following functions are injections, surjections, and bijections. In case a function is not an injection, or not a surjection, or not a bijection, explain why. (a) f: {0, 1,2,3} → {♡,} such that ƒ(0) = f(1) = f(3) = ♡ and ƒ(2) = (b) g: {0, 1, 2, 3} → {0, 1, 4, 9} such that g(n) = n². (c) h: N→ N such that h(n) (d) k: Z→ N such that k(n) = |n|, the absolute value function. = n + 1.

1. Recall the definition of injection, surjection, and bijection given in Chapter 10. Establish which ones of the following functions are injections, surjections, and bijections. In case a function is not an injection, or not a surjection, or not a bijection, explain why. (a) f: {0, 1,2,3} → {♡,} such that ƒ(0) = f(1) = f(3) = ♡ and ƒ(2) = (b) g: {0, 1, 2, 3} → {0, 1, 4, 9} such that g(n) = n². (c) h: N→ N such that h(n) (d) k: Z→ N such that k(n) = |n|, the absolute value function. = n + 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 55E

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