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Homework Quizzes 2.1A & B

by: Leslea Motley

Homework Quizzes 2.1A & B 1101

Marketplace > University of Georgia > Math > 1101 > Homework Quizzes 2 1A B
Leslea Motley
GPA 3.56
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About this Document

These are homework questions and answers with detailed explanations covering chapter 2 section 1, A and B.
Mathematical Modeling
Erik Miller
Class Notes
Math, Modelling, Graphs, functions




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This 6 page Class Notes was uploaded by Leslea Motley on Sunday August 21, 2016. The Class Notes belongs to 1101 at University of Georgia taught by Erik Miller in Fall 2016. Since its upload, it has received 90 views. For similar materials see Mathematical Modeling in Math at University of Georgia.


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Date Created: 08/21/16
HOMEWORK QUIZ (2.1A) Use for 1-2: Age 1 4 18 27 35 40 44 45 (years ) Cost 45 45 45 64 68 90 90 125 ($) 1. Is cost a function of age? REMEMBER: “y equals f of x” The function displayed in the table above is: Cost = f(age) You know this because each age value represents one cost value Answer (“A”): Yes, since the age has only one cost 2. Is age a function of cost? As seen above, the function here is: Cost =f(age) The function, Age = f(cost) is not possible in the case of this table. If that were the correct function, then: f(45) = 1, f(45) = 14, and f(45) = 18 OR f(45) = 1 = 14 = 18 Since the function is the same in each case above, this is impossible. REMEMBER: One function INPUT cannot have multiple OUTPUTS. A: No, since there is a cost with more than one age X -2 0 2 4 6 8 F(x) 8 4 4 13 -15 37 3. Find f(4) Look on table above – if x=4, then f(x) = 13 A: 13 4. Find value(s) of x for which f(x) = 8. Shown in table above – you must find the input to function ( y = f(x) ) REMEMBER: x = input; y = f(x) = output A: -2 5. What is the domain of the function? The domain represents all input values of the function, therefore all of the x-values in the above table are apart of the domain. A: {-2,0,2,4,6,8} 6. What is the range of the function? The range of the function represents all possible output values of the function. You do not repeat values and should be ordered from low  high A: {-15,4,8,13,37} For 7-8: Subway Sandwich Calories (Cal), x Cholesterol (mg), c Honey Mustard Ham 45 25 Cheese Steak 90 35 Buffalo Chicken 130 50 Italian BMT 190 55 Dbl Meat Could cut 250 105 combo 7. How much cholesterol is in a Subway sandwich that contains 130 calories? Cholesterol = f(Calories) or C = f(x) If c = f(130), look on the table above to find that if x=130, c = 50 A: 50 8. How many calories are in a Subway sandwich that contains 35 mg of cholesterol? If c = 35, 35 = f(x); look at the above table to find that c=35, x=90 A: 90 9. For every date that the stock market is trading, the closing price of a particular stock is tabulated. Is closing price a function of date (yes or no)? If closing price is indeed a function of date, it would be written: Closing Price = f(Date) This makes logical sense because for every date, there is one, specific value of closing price. The closing price changes every date that the stock market trades. Therefore, the closing price would be the function output and the date would be the input. ` A: Yes 10. For every date that the stock market is trading, the closing price of a particular stock is tabulated. Is date a function of closing price (yes or no)? If date were a function of closing price, it would be written: Date = f(closing price) This is not logical because the question states that the closing price is tabulated – in other words, the closing price changes based on the date that the stock market is trading. Therefore, the date would be the input and the closing price would be the output because you must know the date (input) to determine the output (closing price). A: No HW QUIZ 2.1B For question 1: 1. Is y a function of x? REMEMBER: y equals f of x AND a graph must pass the Vertical Line test to be considered a function. A: No, since the graph fails the vertical line test For question 2: 2. Is s a function of t? A: Yes, since the graph passes the vertical line test For questions 3-6: 3. What is the domain of g? [-5,20] Because points (-5,75) and (20,200) are closed – they represent endpoints and should be considered the lowest and highest numbers in the sequence of the domain 4. What is the range of g? [-25,200] The range is based on all y-values or values of g(x), therefore, the range is a sequence of numbers from -25 to 200. 5. Find the largest solution to the equation g(x) = 50 A: 14 g(x) = 50 may refer to either a negative or positive x-value; the largest solution would be positive 6. Find g(10). Report answer to the nearest integer. A: 0 For questions 7-8: 7. What is the range of h? A: {0,2,4,5} The range represents all values of y on the graph 8. Find the smallest value of x for which h(x) = 4. A: 1 For questions 9-10: 9. Estimate the 1970 population of St. Louis, in thousands. Report your answer to the nearest thousand. A: 620 10. For which census year was the population of St. Louis closest to 400 thousand? A: 1990


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