" (b) "f:Z rarr Z,f(x)=x^(2)

If f:Z rarr Z,f(x)=x^(2), what are equivalence classes for this equivalence relation?

Which of the following functions are injective and surjective? : f : Z rarr Z,f(x)=x^2

Examine whether the following functions are one-one or not : f : Z rarr Z, f(x) = x^2+5

Which of the following functions are injective and surjective? : f : Z rarr Z,f(x)=x^3

Find whether f:Z rarr Z given by f(x)=x^(2)+1 for all x in Z

If F:Z rarr Z , and F(x)=x^2 then (a)F(x) is one one (b)F(x) is onto (c)F(x) is bijective (d)F(x) is neither one one nor onto

Let z denote the set of all integers.Define : f:z rarr z by f(x)={(x)/(2),(xiseven),0,(xisodd) Then f is

Classify f:Z rarr Z given by f(x)=x^(2) as injection,surjection or bijection.

Find whether the following functions are one-one or not: f:R rarr given by f(x)=x^(3)+2 for all x in Rf:Z rarr Z given by f(x)=x^(2)+1 for all x in Z

Show that the function f : N' rarr Z, f(x)=100-x^2 is not bijective.