Algebra Know-It-ALL

558 Final Exam

51. Imagine that we come across two cubic functions, where all the coefficients and
    constants are real numbers. We want to solve these functions as a two-by-two system.
    What is the minimum number of real solutions that such a system can have?
    (a) None.
    (b) One.
    (c) Two.
    (d) Three.
    (e) We can’t answer this without more information.


52. Figure FE-4 shows four mappings. In each case, the maximal domain and the
    co-domain are represented by the solid gray regions. Which of these drawings
    illustrates the concept of a surjection onto the co-domain?
    (a) Drawing A.
    (b) Drawing B.
    (c) Drawing C.
    (d) Drawing D.
    (e) None of them.

A B

CD

Figure FE-4 Illustration for Final Exam

Question 52.