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Midterm

EECS 1019 Study Guide - Midterm Guide: Mathematical InductionExam


Department
Electrical Engineering and Computer Science
Course Code
EECS 1019
Professor
Jarek Gryz
Study Guide
Midterm

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Last Name:
First Name:
Student Number:
MATH/EECS 1019 (Fall 2016)
Test 2
Instructions:
The exam is 80 minutes long
You cannot use books, notes, cell phones or any other materials
Please write your answers next to the questions and not on a separate sheet of
paper (you can use additional sheets for your own calculations)
Questions 1-11 are worth 1 point each.
1. Suppose f N N has the rule f(n) = 4n + 1. Determine whether f is 1-1.
Ans: Yes.
2. Suppose f N N has the rule f(n) = 4n + 1. Determine whether f is onto
N.
Ans: No.
3. Suppose f Z Z has the rule f(n) = 3n2 1. Determine whether f is 1-1.
Ans: No.
4. Suppose f Z Z has the rule f(n) = 3n 1. Determine whether f is onto
Z.
Ans: No.
In the questions below suppose g A B and f B C where A = B = C = 1234, g =
(14)(21)(31)(42) and f = (13)(22)(34)(42).
5. Find f g.
Ans: (12)(23)(33)(42).
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