1 Insiemi, proposizioni e relazioni ESERCIZI 5.1 L'immagine di una funzione ARGOMENTA Date le seguenti corrispondenze, stabilisci se sono funzioni, motivando brevemente la risposta, e determina l insieme di definizione e l insieme immagine. 417 una funzione A Sì No 418 una funzione B A Sì No B PRACTICE WITH CLIL 1. Describe the following sets explicitly by listing their elements. (N means natural numbers set ) a. A = {x N x < 5} b. B = {x N x is a divisor of 24} c. C = {x N x2 < 100} 2. Find a property P and a set A such that you can write the following sets in the form {x A P(x) where P(x) means: «x has the property P }: a. A = {1, 2, 4, 8, 16} b. B = {6, 4, 8, 2, 0} c. C = {1, 3, 5, 7, ...} d. D = {3, 5, 11, 2, 7, 13} 4. Which of the relations defined below on the set of all people are equivalence relations? Determine the properties of an equivalence relation that the others lack. a. All a and b such that a and b are the same age. b. All a and b such that a and b have the same parents. c. All a and b such that a and b share a common parent. d. All a and b such that a and b have met. e. All a and b such that a and b speak a common language. 3. Let A = {2, 4, 6} and B = {4, 8, 12}. Find A B and B A. 71