CIS 275 Discrete Math I Fall 2017 Assignment 03 Evaluation: As described in the syllabus, the assignments are 20% of the overall grade for the regular student and 30% for the online student . Submission: Submit your document at the beginning of the lecture or by email on Wednesday 10/11/17. No late submission will be accepted Exercise l: Find the element of each set, draw a graph and determine if the function is one-to-one, onto or both. If it is one-to-one and onto, give the description of the inverse function as a set of ordered pairs, draw a graph and identify the element of each set. V = [(l ,d), (2,d), (4,a)] Exercise 2: Let f be the function from X = {0, 1, 2, 3, 4} to X defined by f(x) = 4x mod 5 1. 2. 3. Determine f as a set of ordered pairs. Draw the arrow diagram of f. Determine if f is one-to-one or onto. Exercise 3: Let each function is one-to-one on the specified domain X. If Y = range of f we obtain a bijection from X to Y. Find each inverse function f(x) = 4x +2 f(x)=3x f(x) = 3 +1/x x = set of real numbers x = set of real numbers x = set of nonzero real numbers Exercise 4: Consider the sequence Y and Z defined by Yn 2-1 Zn = n(n-1)