Disproof the statements below. a) Define f: Z → Z by f(n) = 3n-7, VEZ. This function f is onto. b) Define g: R → R by g(x) = sin(x), Vx € R. This function is onto. c) Define h: R → R by h(x) = x6 for all x. This function is a bijection.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 2E
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This is DISCRETE MATHEMATICS. Neat handwriting ONLY. Please write or type the answer in a simple way so I can understand it.

Disproof the statements below.
a) Define f: Z → Z by f(n) = 3n-7,
Z. This function f is onto.
b) Define g: R → R by g(x) = sin(x), Vx € R. This function is onto.
c) Define h: R → R by h(x) = x6 for all x. This function is a bijection.
Transcribed Image Text:Disproof the statements below. a) Define f: Z → Z by f(n) = 3n-7, Z. This function f is onto. b) Define g: R → R by g(x) = sin(x), Vx € R. This function is onto. c) Define h: R → R by h(x) = x6 for all x. This function is a bijection.
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