Hi, only parts c through h please! 15. Write the range of each function. (a) Let A = {2,3,4,5) and f: A-Z be defined by f(x) = 21-1. (b) Let A = {2,3,4,5) and f: A-Z be defined by f (x) = 2². (e) Let f: {0,135 → Z be defined as follows. For r € (0,1}5, f(x) gives the number of times "01" occurs in the string. (d) Let f: {0,115-Z be defined as follows. For z € (0,1), f(x) gives the number of ones in z. (e) Let f: (0,133 → {0,1}³ be defined as follows. For z € (0,1}³, f (r) is obtained by replacing the last bit with a 1. (f) Let A = {2,3,4,5} and define f: Ax A-Z by f(z,y) = x+y. - (g) Let A={1,2,3} and define f: Ax A-Z by f(x, y) = 1. (h) Let A={1,2,3} and define f: Ax A-Ax A by f(x, y) = (y, I).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Hi, only parts c through h please!
15. Write the range of each function.
(a) Let A=(2,3,4,5) and f: A-Z be defined by f (x)=2x-1.
(b) Let A = {2,3,4,5) and f: A→ Z be defined by f(x) = 1².
(c) Let f: {0,135. → Z be defined as follows. For r € (0,1}5, f(x) gives the number of
times "01" occurs in the string.
(d) Let f: {0,135 → Z be defined as follows. For z € (0,1), f(x) gives the number of ones
in z.
(e) Let f: {0,133 (0,1}³ be defined as follows. For z € (0,1)³, f (r) is obtained by
replacing the last bit with a 1.
(f) Let A = {2,3,4,5} and define f: Ax A-Z by f(z,y)=x+y.
(g) Let A={1,2,3} and define f: Ax A-Z by f(x, y) = 1².
(h) Let A={1,2,3} and define f: Ax A→Ax A by f(x, y) = (y, I).
Transcribed Image Text:Hi, only parts c through h please! 15. Write the range of each function. (a) Let A=(2,3,4,5) and f: A-Z be defined by f (x)=2x-1. (b) Let A = {2,3,4,5) and f: A→ Z be defined by f(x) = 1². (c) Let f: {0,135. → Z be defined as follows. For r € (0,1}5, f(x) gives the number of times "01" occurs in the string. (d) Let f: {0,135 → Z be defined as follows. For z € (0,1), f(x) gives the number of ones in z. (e) Let f: {0,133 (0,1}³ be defined as follows. For z € (0,1)³, f (r) is obtained by replacing the last bit with a 1. (f) Let A = {2,3,4,5} and define f: Ax A-Z by f(z,y)=x+y. (g) Let A={1,2,3} and define f: Ax A-Z by f(x, y) = 1². (h) Let A={1,2,3} and define f: Ax A→Ax A by f(x, y) = (y, I).
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