Question 1 Let A-ta, b} and B-{ 1,2, }. Solve the following problems. (a) Find Ax B, the Cartesian product of A and B. (b) Find P(B), the power set of B. Question 2 Let N be the set of natural numbers, Z be the set of integers, Z' be the set of positive integers, and E be the set of even integers. Find the following sets. (b) Nn(EUN) (d) (z-Zuz Question 3 (a) Determine if f(x)-3x -2 is a function from R to Z. (b) Determine if fx) 3x 2 is a function from Z to Z. (c) Determine if f(x) = (3x-2) is a function from Z to Z. Question 4 (a) Determine if the function f(x)-2x-1 from R to R is onto, one-to-one, and one-to-one correspondence, respectively. (b) Determine if the function f(x)-2x-1 from Z to Z is onto, one-to-one, and one-to-one Zoom Out correspondence, respectively (e) Determine if the function f(x)- Lx] from R to Z is onto, one-to-one, and one-to-one correspondence, respectively. QuestionSCalculate summation (1 + 2) i-2 j-4