Check injectivity and surjectivity of the following functions:
(1) f:N→N
given by f(x)=x2

(2) f:Z→Z
given by f(x)=x2

(3) f:R→R
given by f(x)=x2

(4) f:N→N
given by f(x)=x3

(5) f:Z→Z
given by f(x)=x3

Question

Pawan Prajapati · Answer

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Check injectivity and surjectivity of the following functions: (1) f:N→N given by f(x)=x2 (2) f:Z→Z given by f(x)=x2 (3) f:R→R given by f(x)=x2 (4) f:N→N given by f(x)=x3 (5) f:Z→Z given by f(x)=x3

Check injectivity and surjectivity of the following functions:
(1) f:N→N
given by f(x)=x2

(2) f:Z→Z
given by f(x)=x2

(3) f:R→R
given by f(x)=x2

(4) f:N→N
given by f(x)=x3

(5) f:Z→Z
given by f(x)=x3

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Check injectivity and surjectivity of the following functions: (1) f:N→N given by f(x)=x2 (2) f:Z→Z given by f(x)=x2 (3) f:R→R given by f(x)=x2 (4) f:N→N given by f(x)=x3 (5) f:Z→Z given by f(x)=x3

Check injectivity and surjectivity of the following functions: (1) f:N→N given by f(x)=x2 (2) f:Z→Z given by f(x)=x2 (3) f:R→R given by f(x)=x2 (4) f:N→N given by f(x)=x3 (5) f:Z→Z given by f(x)=x3

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Check injectivity and surjectivity of the following functions:
(1) f:N→N
given by f(x)=x2

(2) f:Z→Z
given by f(x)=x2

(3) f:R→R
given by f(x)=x2

(4) f:N→N
given by f(x)=x3

(5) f:Z→Z
given by f(x)=x3