unctions, Determine whether it is one-to-one, and determine whether (a) f: R R, defined as f(x) 2r+ 1. (b) f: N N, defined as S (x) = 2x + 1. (c) f: N N, defined as S(x) = [x/3]. %3D (d) f: R N. defined

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 25E
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For each of the following determine whether it is one to one or on to

Ihetions, Determine whether it is one-to-one, and determine whether
(a) f: R R, defined as f(x) 2r +1.
(b) f: N N, defined as f(r) 2x+ 1.
%3D
(c) f: N N, defined as f(x) = [x/3].
%3D
(d) f: R N. defined as f(x) = La2]
(e) f: 2N 2N, defined as f(x) xU{1}. Note: recall that 2N denotes the power set of N.
%3D
3. Find range of the following real functions f : R R. Shoul 1
example, given f(x) = x2, the range h
(a) f(x)
%3D
= T (i
Transcribed Image Text:Ihetions, Determine whether it is one-to-one, and determine whether (a) f: R R, defined as f(x) 2r +1. (b) f: N N, defined as f(r) 2x+ 1. %3D (c) f: N N, defined as f(x) = [x/3]. %3D (d) f: R N. defined as f(x) = La2] (e) f: 2N 2N, defined as f(x) xU{1}. Note: recall that 2N denotes the power set of N. %3D 3. Find range of the following real functions f : R R. Shoul 1 example, given f(x) = x2, the range h (a) f(x) %3D = T (i
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