Only need answers for parts b and c, nothing else (4) Let A = P({1, 2, 3, 4}). Let f, g and h be the following functions.f:A A defined by f(X) = {1, 2, 3, 4} - X.g:A N defined by g(X) = -0 if X = {}= the sum of the elements of X if X is not = {}.h: N A defined by h(x) = {2, 3} n {x}.%3Da.(i) Write down f({1, 2, 3}).(ii) Write down g({2, 3, 4}).(iii) Write down h(1).b. (i) Is f one-to-one? (ii) Is g one-to-one? (iii) Is h one-to-one?c (i) Write down the image of f. (ii) Write down the image of g. (iii) Write down the image of h.

We will directly write the image of the functions using the given definition and will use the…

(4 ) Let A = P{1, 2, 3, 4}). Lêt f, ĝ and h be the f:A A defined by f(X) = {1, 2, 3, 4} - X. g:A N defined by g(X) = -0 if X = {} IlOwing = the sum of the elements of X if X is not = {}. h: N A defined by h(x) = {2, 3} n {x}. a.(i) Write down f({1, 2, 3}). (ii) Write down g({2, 3, 4}). (iii) Write down h(1). b. (i) Is f one-to-one? (ii) Is g one-to-one? (iii) Is h one-to-one? G (i) Write down the image of f. (ii) Write down the image of g. (iii) Write down the image of h.

(4 ) Let A = P{1, 2, 3, 4}). Lêt f, ĝ and h be the f:A A defined by f(X) = {1, 2, 3, 4} - X. g:A N defined by g(X) = -0 if X = {} IlOwing = the sum of the elements of X if X is not = {}. h: N A defined by h(x) = {2, 3} n {x}. a.(i) Write down f({1, 2, 3}). (ii) Write down g({2, 3, 4}). (iii) Write down h(1). b. (i) Is f one-to-one? (ii) Is g one-to-one? (iii) Is h one-to-one? G (i) Write down the image of f. (ii) Write down the image of g. (iii) Write down the image of h.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 36E

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