Hi, I just need help with part IV of the attached problem. Thank you. 1. (i) Let A C R. The characteristic function of the set A is defined to be xa(x) = 1 if æ E A andXA(x) = 0 if æ is not in A. What is x[1,2| (3)?(ii) Is x[1,2] 1-1 from R to R? Why? Is it surjective? Why?(iii) Show that x-1,0]U[1,2] = X[-1,0] + X[1,2](iv) Does X[-1,1]u[0,4] = X[-1,1] + X[0,4)? Does X[-1,1]U[0,4] = x[-1,1] + X[0,4) – X[-1,1]^[0,4)? Proveyour answers.

Name: Hi, I just need help with part IV of the attached problem. Thank you.
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Description: Hi, I just need help with part IV of the attached problem. Thank you. 1. (i) Let A C R. The characteristic function of the set A is defined to be xa(x) = 1 if æ E A andXA(x) = 0 if æ is not in A. What is x[1,2| (3)?(ii) Is x[1,2] 1-1 from R to R? Why

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1. (i) Let AC R. The characteristic function of the set A is defined to be xa(x) = 1 if æ E A and XA(x) = 0 if x is not in A. What is x1,2) (3)? (ii) Is x[1,2] 1-1 from R to R? Why? Is it surjective? Why? (iii) Show that x--1,0|U[1,2) = X{-1,0] + X[1,2]| (iv) Does X[-1,1]U[0,4] = X[-1,1] + X[0,4)? Does X[-1,1]U[0,4] = x[-1,1] + X[0,4] – X[-1,1]N[0,4]? Prove %3D %3D your answers.

1. (i) Let AC R. The characteristic function of the set A is defined to be xa(x) = 1 if æ E A and XA(x) = 0 if x is not in A. What is x1,2) (3)? (ii) Is x[1,2] 1-1 from R to R? Why? Is it surjective? Why? (iii) Show that x--1,0|U[1,2) = X{-1,0] + X[1,2]| (iv) Does X[-1,1]U[0,4] = X[-1,1] + X[0,4)? Does X[-1,1]U[0,4] = x[-1,1] + X[0,4] – X[-1,1]N[0,4]? Prove %3D %3D your answers.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 19E

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Hi,

I just need help with part IV of the attached problem. Thank you.

1. (i) Let A C R. The characteristic function of the set A is defined to be xa(x) = 1 if æ E A and
XA(x) = 0 if æ is not in A. What is x[1,2| (3)?
(ii) Is x[1,2] 1-1 from R to R? Why? Is it surjective? Why?
(iii) Show that x-1,0]U[1,2] = X[-1,0] + X[1,2]
(iv) Does X[-1,1]u[0,4] = X[-1,1] + X[0,4)? Does X[-1,1]U[0,4] = x[-1,1] + X[0,4) – X[-1,1]^[0,4)? Prove
your answers.

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