Mock Tutors' Sample Midterm Exam PDF 2024-11-05

Sample Midterm Exam | Created by your Tutors Delia & Mark 2024-11-05 This Sample Exam is not a QM1 Mock Exam provided by the professors. This document was created by the QM1 tutors (Delia & Mark), and i...

Sample Midterm Exam | Created by your Tutors Delia & Mark 2024-11-05 This Sample Exam is not a QM1 Mock Exam provided by the professors. This document was created by the QM1 tutors (Delia & Mark), and is completely independent of the actual exam and preparation materials provided by the professors. It is meant to give you a rough overview about the possible type of questions and the structure of the exam, which in our opinion could be helpful. Pleas note that the main preparation materials can be found in the Lecture Notes, where some of the exercises are actually taken from past exams. It would be great if you solve all exercises from there, and then ask us questions where you encountered difficulties, this would be the best preparation for the upcoming Midterm Exam. 1  1. Consider the following function graphs and underline their characteristics below. You may circle multiple properties in one line. Note: By symmetric it’s meant that the function is being symmetric about any number (not necessarily about 0). Graph of f(x) Graph of g(x) 2 −10 1 −20 g(x) f(x) 0 −30 −1 −40 −2 −4 −2 0 2 4 6 −5 0 5 x x Graph of h(x) Graph of j(x) 100 500 h(x) j(x) 60 0 0 20 −1000 0 1 2 3 4 −10 −5 0 5 10 x x (a) Function f is: i. Monotone increasing / monotone decreasing / neither ii. Symmetric / even / odd / none iii. Convex / concave/ neither (b) Function g is: i. Monotone increasing / monotone decreasing / neither ii. Symmetric / even / odd / none iii. Convex / concave / neither 2  (c) Function h is: i. Monotone increasing / monotone decreasing / neither ii. Symmetric / even / odd / none iii. Convex / concave / neither (d) Function i is: i. Monotone increasing / monotone decreasing / neither ii. Symmetric / even / odd / none iii. Convex / concave / neither 2. You are given the following piece of code: function