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math333 1.Let A = {1; 2; 3; 4} and B = {a; b; c}. Give an example of a function f:A →Bthat is neither one to one nor onto.
2. Determine ifthe function f:ℝ - {0} →ℝdefined as f(x) =1/x+ 1 is one to one and onto.
3. Determine ifthe function f : ℝ- {2} →ℝ - {5} defined by f(x) =5x + 1/x - 2is invertible. If it is define the inverse function f^-1.
4. Determine ifthe function f:ℝ- {1} → ℝdefined by f(x) =(x + 1/x – 1)^3is one to one .
5. Determine ifthe function f: ℤ→ℤdefined as f(x) = 3 (-1)^x is one to one.
6. Determine if the function f:{0, 1} →ℤdefined as f(x) = 3 -1)^x is one to one.