University:
University of Vermont
Course:
MATH 1034 | Pre-Calculus Mathematics
Academic year:

2024
Views:

235

Pages:

3
Author:

Bruno Manning

PAL Worksheet 2 1. The graph of a function g is shown. Answer the questions, using approximations if necessary and interval notation where appropriate: 10 5 2 -2 4 6 -5 a. What is the domain of g? b. What is the range of g? c. Find the value of each of the following: g(−3), g(−1), g(0), g(2), g(4) and g(6). d. For what value(s) of x is g(x) = 0? e. For what value(s) of x is g(x) = 5? f. For what value(s) of x is g(x) = −1? 2. Does the rule that assigns each student in our class to the amount of money he or she has with them right now describe a function? Explain. 3. Does the rule that assigns each student at Sac State to the math class he or she is enrolled in this semester describe a function? Explain. 4. Does the rule that assigns each student at Sac State to the book he or she has checked our of the library right now describe a function? Explain. 5. Does the rule that assigns each student in our class to his or her birthday describe a function? Explain. 6. The graph of a function is shown. 6 5 4 3 2 1 1 -1 2 3 4 -1 -2 a. What is the domain of the function? Use interval notation to answer, using approximations if necessary. b. What is the range of the function? Use interval notation to answer, using approximations if necessary. 7. The graph of a function y = f (x) is shown. Answer each question. Use approximations where necessary and use interval notation where appropriate. 15 10 5 -8 -7 -6 -5 -4 -3 -2 1 -1 2 3 4 5 6 -5 -10 a. What are f (−2) and f (2)? b. What are f (−3) and −f (3)? c. What are f (−6) + f (2) and f (−6 + 2)? d. Which is bigger, f (−4) or f (4)? e. Find all x where f (x) = 0. f. Find all x with f (x) = f (0). g. Find all x with f (x) = f (−3). h. Find all x with f (x + 2) = 15. i. Is f (5) − f (−5) positive, negative, or zero? j. Is f (2) − f (1) positive, negative, or zero? k. Is f (2) + f (1) positive, negative, or zero? l. Where is f decreasing? m. Find all x where f (x) < 0. n. How often does the line y = 3 intersect the graph? o. How often does the line x = 3 intersect the graph? p. Does the line joining the points (−4, f (−4)) and (3, f (3)) have a positive slope, a negative slope, or a slope of zero?