Mini-Lecture 3.6: Functions | Lecture Note - Edubirdie

University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

360

Pages:

1
Author:

zbrkanogiorr

Mini-Lecture 3.6 Functions Learning Objectives: 1. 2. 3. 4. Identify relations, domains, and ranges. Identify functions. Use the vertical line test. Use function notation. Examples: 1. Find the domain and range of each relation. a) {( 2,3) , ( 0,0) , ( −1, −5) , ( −2,6)} {( 3,1) , ( 3, −2 ) , ( 3,0) , ( 3,6)} b) 2. Determine whether each relation is also a function. a) {(10,5) , ( −3, −2) , ( 2, −1) , ( 6,5)} b) {( 3,5) , ( −3,5) , ( −3,0) , ( 2,4)} 3. Determine whether each graph is the graph of a function. a) b) c) 4. For each function (a – c), find the value of the f(-3,) f(2), and f(0). 1 a) f (x) = − x − 5 3 b) f (x) = 3x 2 − 2x − 2 c) f (x) = −3 − x d) If f(4) = 8, write a corresponding ordered-pair solution. Teaching Notes: • • • • At first, students find the definition of relation and function confusing. Many students have trouble determining if a relation is a function. Some students struggle with the concept of domain and range. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) D: {-2, -1, 0, 2}, R:{-5, 0, 3, 6}; 1b) D: {3}, R: {-2, 0, 1, 6}; 2a) yes; 2b) no; 3a) no; 3b) yes; 3c) yes; 4a) − 4,− 17 ,−5 ; 4b) 31, 6, -2; 4c) 0, 5, 3; 4d) (4, 8) 3

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