2-1. Practice. Relations and Functions
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1 NAME DATE PERID -1 Practice Relations and Functions State the domain and range of each relation. Then determine whether each relation is a function. If it is a function, determine if it is one-to-one, onto, both or neither. 1. Domain Range. Domain Range Graph each equation and determine the domain and range. Determine whether the relation is a function, is one-to-one, onto, both, or neither. Then state whether it is discrete or continuous. 5. = = and g() = f(3) 8. f() 9. g ( 1 ) Find each value if f() = 10. f() 11. g(-6) 1. f(m - ) 13. MUSIC The ordered pairs (1, 16), (, 16), (3, 3), (, 3), and (5, 8) represent the cost of buing various numbers of CDs through a music club. Identif the domain and range of the relation. Is the relation discrete or continuous? Is the relation a function? Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 1. CMPUTING If a computer can do one calculation in second, then the function T(n) = n gives the time required for the computer to do n calculations. How long would it take the computer to do 5 billion calculations? Chapter 8 Glencoe Algebra
2 NAME DATE PERID Practice Linear Relations and Functions State whether each function is a linear function. Write es or no. Eplain. 1. h() = 3. = 3 3. = = Write each equation in standard form. Identif A, B, and C. 5. = = = 0 8. = Find the -intercept and the -intercept of the graph of each equation. Then graph the equation using the intercepts. 9. = = = = MEASURE The equation =.5 gives the length in centimeters corresponding to a length in inches. What is the length in centimeters of a 1-foot ruler? 1. LNG DISTANCE For Meg s long-distance calling plan, the monthl cost C in dollars is given b the linear function C(t) = t, where t is the number of minutes talked. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. a. What is the total cost of talking 8 hours? of talking 0 hours? b. What is the effective cost per minute (the total cost divided b the number of minutes talked) of talking 8 hours? of talking 0 hours? Chapter 1 Glencoe Algebra
3 NAME DATE PERID -3 Practice Rate of Change and Slope Find the slope of the line that passes through each pair of points. Epress as a fraction in simplest form. 1. (3, -8), (-5, ). (-10, -3), (7, ) 3. (-7, -6), (3, -6). (8, ), (8, -1) 5. (, 3), (7, ) 6. (-6, -3), (-8, ) Determine the rate of change of each graph DEPRECIATIN A machine that originall cost $15,600 has a value of $7500 at the end of 3 ears. The same machine has a value of $800 at the end of 8 ears. a. Find the average rate of change in value (depreciation) of the machine between its purchase and the end of 3 ears. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. b. Find the average rate of change in value of the machine between the end of 3 ears and the end of 8 ears. c. Interpret the sign of our answers. Chapter 0 Glencoe Algebra
4 NAME DATE PERID Practice Writing Linear Equations Write an equation in slope-intercept form for the line described. 1. slope, -intercept at 0. parallel to = +, -intercept at 3. perpendicular to = 1 +,. parallel to = 3 +, -intercept at passes through (0, 0) 5. perpendicular to = , 6. slope -, -intercept at 3 3 passes through (, 3) Write an equation in slope-intercept form for each graph. 7. (0, ) 8. (, ) 9. (-3, 3) (0, ) (3, -1) Write an equation in slope-intercept form for the line that satisfies each set of conditions. 10. slope -5, passes through (-3, -8) 11. slope, passes through (10, -3) 5 1. slope 0, passes through (0, -10) 13. slope -, passes through (6, -8) 3 1. parallel to = - 5, -intercept at slope 1, -intercept at perpendicular to = parallel to = - 10, -intercept at 9 3 passes through (6, -1) 18. passes through (-8, -7), perpendicular to the graph of = - 3 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 19. RESERVIRS The surface of Grand Lake is at an elevation of 68 feet. During the current drought, the water level is dropping at a rate of 3 inches per da. If this trend continues, write an equation that gives the elevation in feet of the surface of Grand Lake after das. Chapter 6 Glencoe Algebra
5 NAME DATE PERID -5 Practice Scatter Plots and Lines of Regression For Eercises 1 and, complete parts a c. a. Make a scatter plot and a line of fit, and describe the correlation. b. Use two ordered pairs to write a prediction equation. c. Use our prediction equation to predict the missing value. 1. FUEL ECNMY The table gives the weights in tons and estimates the fuel econom in miles per gallon for several cars. Weight (tons) Miles per Gallon 9 3 1? Fuel Econom (mi/gal) Fuel Econom Versus Weight Weight (tons) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.. ALTITUDE As Anchara drives into the mountains, her car thermometer registers the temperatures ( F) shown in the table at the given altitudes (feet). Temperature Altitude (ft) ,00 1,000 Versus Altitude 65 Temperature ( F) ? 0 7,000 8,000 9,000 10,000 Altitude (ft) 3. HEALTH Alton has a treadmill that uses the time on the treadmill to estimate the number of Calories he burns during a workout. The table gives workout times and Calories burned for several workouts. Find an equation for and graph a line of regression. Then use the function to predict the number of Calories burned in a 60-minute workout. Time (min) Calories Burned ? Calories Burned Burning Calories Time (min) Chapter 33 Glencoe Algebra Temperature ( F) Lesson -5
6 NAME DATE PERID -6 Practice Special Functions Graph each function. Identif the domain and range. 1. f() = { + if. h() = { - if > 0 3 if > - if < 0 f() h() Lesson f() = 0.5. f() = - f() f() Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 5. g() = 6. f() = + 1 g() 7. BUSINESS A Stitch in Time charges $0 per hour or an fraction thereof for labor. Draw a graph of the step function that represents this situation. Labor Costs Total Cost ($) Hours Chapter 39 Glencoe Algebra f() 8. BUSINESS A wholesaler charges a store $3.00 per pound for less than 0 pounds of cand and $.50 per pound for 0 or more pounds. Draw a graph of the function that represents this situation. Cand Costs Cost ($) Pounds
7 NAME DATE PERID -7 Practice Parent Functions and Transformations Describe the translation in each function. Then graph the function. 1. = + 3. = - 3 Describe the reflection in each function. Then graph the function. 3. = (-). = -(3) Describe the dilation in each function. Then graph the function. 5. = 6. = 7. CHEMISTRY A scientist tested how fast a chemical reaction occurred at different temperatures. The data made this graph. What tpe of function shows the relation of temperature and speed of the chemical reaction? Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. -1 Chapter 6 Glencoe Algebra
8 NAME DATE PERID -8 Practice Graphing Linear and Absolute Value Inequalities Graph each inequalit > < < > > Lesson -8 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 10. CMPUTERS A school sstem is buing new computers. The will bu desktop computers costing $1000 per unit, and notebook computers costing $100 per unit. The total cost of the computers cannot eceed $80,000. a. Write an inequalit that describes this situation. b. Graph the inequalit. Notebooks Computers Purchased c. If the school wants to bu 50 of the desktop computers and 5 of the notebook computers, will the have enough mone? Desktops Chapter 53 Glencoe Algebra
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