Complete a well-organized write-up with clear answers or proofs to the following. Demonstrate appropriate work and justification of solutions. Note: Your write-up wil be evaluated on its math ematical correctness and completeness AND the quality and clarity of its presentation Note: For assignment problems, collaboration with other people and use of online resources is NOT permitted. Let f : R → R be defined by f(x)= 5x^3--7. Prove that f is biective.
List the ordered pairs in the relation R from
A={1,2,3,4} to B = {0, 1,2,3,4}, where (a, b) E R if and only if
a) a < b
b) a+b=2 a+b=4
c) the standard English name (e. g. 0's names zero", 's names o, etc.) of a and b have the same length in terms of number of letters.