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F.IF.5 [578932]StudentClassDate1.John is buying a new car. The value of one car he is considering is $20,000. The value of the car as it ages can be modeled by the function where t?is the number of years from the time of purchase. One of the factors John is using to make his decision is the value of the car over time until it reaches half its original value. What values of domain are reasonable for the given function in this context?/files/assess_files/6156e64b-318a-477b-9ee2-959dee36da21/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.all real numbers greater than or equal to 0??B.all real numbers greater than or equal to 0 and less than 4??C.all real numbers greater than or equal to 0 and less than 2.8??D.all real numbers greater than or equal to 10,000 and less than or equal to 20,000???2.What is the domain of the function? ???A.x < –4 or x > –4??B.x < –1 or x > –1??C.x < 0 or x > 0??D.x < 1 or x > 1???3.For what domain is the function ? positive???A.all positive real numbers??B.all negative real numbers??C.all positive integers??D.all negative integers???4.Craig works at an appliance store. He earns a fixed salary of $1,000 every 2 weeks.? He also earns a $50 commission on each appliance he sells. Craig's earnings in dollars, y, can be represented as a function of the number of appliances he sells, x. Which graph represents Craig's earnings during a two week period in which he sells no more than 20 appliances??/files/assess_files/eda6e548-1385-411e-a9eb-f78f95ad6258/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???5.Members of the senior class of Washington High School are selling scented candles to raise money for their senior trip. They wrote the amount of money raised as a function of the number of candles sold. Which set of numbers would be an appropriate domain for the function described?/files/assess_files/e1427efb-a949-4d4c-bf27-e5a844214f97/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???6.A company uses the function f(x) = 20x – 500 to calculate profit or loss, where x is the number of products sold. What is the most appropriate domain of the function???A.all integers??B.all real numbers??C.all whole numbers??D.all rational numbers???7.Connor is earning money by mowing lawns over the summer. The amount of profit he makes from mowing x lawns is modeled by the function p(x)?=?20x?–?75. What is the most appropriate domain of the function???A.all rational numbers??B.all non-negative rational numbers??C.all integers??D.all non-negative integers???8.The function h(t)?=?1,000(0.95)t models the size of a mold culture t hours after being treated. What is the most appropriate domain for this function???A.all integers??B.positive integers??C.all rational numbers??D.positive rational numbers???9.A rental company uses the function f(x) = 150x + 75 to calculate the cost to rent a beach house x number of nights. The maximum number of nights the beach house can be rented is 30. What is the domain of the function???A.0 ≤ x ≤ 30, where x is a whole number??B.0 < x < 30, where x is a whole number??C.0 ≤ x ≤ 4,575, where x is a whole number??D.0 < x < 4,575, where x is a whole number???10.Marama is?planting a?rectangular?garden in her backyard. She is planning to fence?in the garden?with 28 feet of wired fencing. The garden’s area can be represented by the function ? where t is the length of a side. What are?all of the appropriate values of the domain for the graph of this function? Explain your answer in terms of the situation.?Use words, numbers, and/or pictures to show your work./files/assess_files/73d22ebe-ca83-48b8-b03c-7149490b3914/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?????11.The function f(x)=3.33x models the cost for Juan to fill his car with x gallons of gas. Juan’s car can hold a maximum of 17 gallons of gas. What is the most appropriate domain of the function???A.x ≤ 17??B.x ≤? 56.61??C.0?≤ x ≤ 17??D.0?≤? x ≤? 56.61???12.Part A. Emma’s cell phone plan charges $0.20 for each text message. The function represents the cost of the total number of text messages Emma sends and receives. If?x represents the total number of messages, what is the domain of the function Part B. How will the domain of the function change if Emma?puts a limit of $25 on her monthly?texting bill?Part C.?The dollar amount of Emma’s prepaid call balance decreases by?r for each second of a call. The call balance left is modeled by the function where?b is the initial balance in dollars and?s is the number of seconds. What is the domain of the function Part D. Emma changes her call plan from prepaid to pay-as-you-go. The function represents the total bill she pays after a month, where?A is the fixed monthly fees and is the amount in dollars charged for?each second of calls she made. What is the reasonable domain of the function in terms of the given context?/files/assess_files/aababb6f-1400-41f5-bd46-7fe4d8e1d191/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?????13.The function ? is restricted to a specific domain. Under this restriction, its range is What is the largest possible domain for /files/assess_files/cec6050f-328d-4b92-bc41-550b57df1ae5/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???14.Rene makes a box with no top out of a piece of cardboard. A square with dimensions x inches (in) is cut from each corner as shown. The volume of the box is given by the function Which domain is appropriate for this function???A.all positive real numbers??B.all positive real numbers such that ??C.all positive real numbers such that ??D.all positive real numbers such that or ???15.What is the domain of the following function?/files/assess_files/e5e8f401-78c3-4c34-887d-3829e5ff3b6a/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?????16.Jorge plans to save $25 a week to purchase a new bike. The function f(x)?=?250?–?25x models the amount of money that Jorge will need to purchase the bike x weeks after he starts saving. Which is the most appropriate domain for the function???A.all integers ≥?10??B.all integers ≤?10??C.all non-negative integers?≥ 10??D.all non-negative integers ≤ 10???17.Which graph represents a function that has all real numbers less than 2 and greater than 2 as its domain?/files/assess_files/aaab95d0-b834-4806-ab9a-5385a035b3e3/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???18.An apartment complex has 200 apartments available to rent. The function ?represents the monthly profit earned for renting?x?apartments. What domain of ?is reasonable in this context?/files/assess_files/b86df3cb-d30d-484a-b117-e3cde0131ed0/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.all positive integers??B.all positive real numbers??C.all whole numbers less than or equal to 200??D.all positive real numbers less than or equal to 200???19.The total cost for potatoes, y, at a grocery store can be modeled by the equation y = 0.59x, where x is the number of pound of potatoes. What is the most appropriate domain of the function???A.all nonnegative rational numbers??B.all nonnegative integers??C.all rational numbers??D.all integers???20.Martin modeled the distance, y, that runners traveled during a race as a function of the time, x, that they ran. Which would best describe the domain of this function???A.all integers??B.all real numbers??C.all positive integers??D.all positive real numbers???21.Which set represents the domain of the function /files/assess_files/46002782-9022-451f-aae6-7b92815d0453/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???22.A certain population of?bacteria doubles every 60 minutes. Beginning with 50 bacteria in the culture, the population can be represented by the function where A is the number of bacteria after t number of hours. Which of these is the appropriate domain for the function A in terms of given context?/files/assess_files/5f743a8b-2478-485f-b5e7-acfe9bf31531/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.all real numbers greater than or equal to 0??B.all integers greater than or equal to 50??C.all integers greater than or equal to 0??D.all real numbers greater than 50???23.The graph of represents the predicted value of a car over x years.What is the domain of ??A.??B.??C.??D.???24.Sarah’s car holds a maximum of 12 gallons of gas. The function f(g) = 3.50g models the relationship between the total cost of gas, f(g), and the number of gallons of gas purchased, g. What is the most appropriate?domain of the function???A.g < 12??B.g ≤ 12??C.0 < g < 12??D.0 ≤ g ≤ 12???25.Felix throws a ball into the air. The height of the ball, h,?in feet at a given time, t,?in seconds is represented by the function What is the reasonable domain for the function /files/assess_files/1ee06440-ebee-4325-b579-f211a61d7c68/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.The domain is all real numbers greater than or equal to 0.??B.The domain is all real numbers from 16 to 25.??C.The domain is all real numbers from 0 to 2.??D.The domain is all real numbers.???26.The table below shows the population of a state during different years.?Year (x)??Population (y)??2004??8,500,000 ?2006??8,900,000 ?2007??9,000,000 ?2008??9,200,000 ?2010??9,500,000 What is the approximaterelative domain of the line of best fit for the data???A.x > 0??B.x > 1650??C.x > 1952??D.x > 2004???27.John earns $8 per hour for his after-school job. He never works more than 18 hours in a week, and he never works a fraction of an hour. The equation that models this situation is where A represents the amount John earns and h represents the number of hours John works in a week. What is the reasonable domain of the function A in the given context?/files/assess_files/4f0138e5-b295-47aa-aa1c-519da6fecd4d/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.all integers greater than or equal to 0??B.all integers less than or equal to 18??C.all integers greater than or equal to 0 and less than or equal to 18??D.all integers greater than or equal to 0 and less than or equal to 144???28.A high school baseball team is having a fundraiser at a restaurant. The function f(x)?=?4x models the amount of money that the restaurant will donate to the team if x customers purchase dinner. The restaurant agrees to donate a maximum of $500 to the team. What is the most appropriate domain of the function???A.all nonnegative integers ≤ 4??B.all nonnegative integers?≤ 125??C.all nonnegative integers?≤ 500??D.all nonnegative integers???29.The graph below shows the value of Matt’s car over?a 10-year period.?What is the domain of the function that best represents the value of the car with respect to the number of years?/files/assess_files/c9ffa6e5-b1e4-47ef-92e0-120e25e53fdd/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.all integers from 0 to 10??B.all integers from 0 to 25,000??C.all real numbers from 0 to 10??D.all real numbers from 0 to 25,000???30.Jeanette writes?the?functions below to model two different situations.?models the depreciated value of a video game after x months.models the number of teams left in a high school football tournament at the end of x number of rounds.?Describe the domain of function Describe the domain of function Compare the graphs of /files/assess_files/3957dfd4-2313-4bea-be5f-edfb65b115c8/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?????31.The art club at a high school is selling baked goods to raise money to paint a mural in the gym. The function f(x)=0.50x models the profit the club makes for selling x number of baked goods. If the club has 225 baked goods to sell, what is the domain of the function???A.0 ≤ x ≤ 112.50??B.0 ≤ x ≤ 225??C.x?≤ 225??D.x?≤ 0.50???32.An ice cream shop uses the function f(p) = 2.50p – 300 to calculate the amount of profit or loss, f(p), the store makes each day after selling p number of ice cream cones. Which domain is appropriate for the function and shows the ice cream shop making a profit???A.all positive integers??B.all positive rational numbers??C.all integers greater than 120??D.all rational numbers greater than 120???33.What is the domain of the function /files/assess_files/569de7c2-b0c9-46b9-9a74-47528b809651/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.all real numbers??B.all real numbers except 0??C.all real numbers except 2??D.all real numbers greater than 2???34.The function f(x)?=?1,575?–?225x models the value of a computer x years after it was purchased. What is an appropriate domain for this function???A.x ≥ 0???B.x ≤ 7???C.0 ≤ x ≥ 7????D.0 ≤ x ≤ 7???35.Tom hits a golf ball up in the air with an initial velocity of 29.5 meters per second. The height of the ball can be modeled by the equation where h?is the height of the ball, in meters, after t?seconds. What is the reasonable domain?for this situation?/files/assess_files/f9e133ee-dd0b-44e1-9956-0aef43a5cf07/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???36.The function f(x)?=?105x?+?12.95 models the total cost to purchase x airplane tickets from a company. What is the most appropriate domain of the function???A.all non-negative real numbers??B.all non-negative integers??C.all real numbers??D.all integers???37.A house painter can paint one wall every 30 minutes during an 8-hour shift. Which best describes the domain if the number of walls the painter can paint is a function of time???A.[0, 16]??B.[0, 8]??C.{0, 1, 2, 3, 4, 5, 6, 7, 8}??D.{0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 7.5, 8}???38.The bar graph below shows the height (in centimeters)?of several models of shoes.Which set of numbers is the domain of the function?/files/assess_files/8446fb72-2e28-4dae-8e22-1027e9288410/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.{7, 10, 15}??B.{1, 3, 4, 7, 8}??C.{1, 2, 3, 4, 5, 6, 7, 8}??D.{7, 8, 9, 10, 11, 12, 13, 14, 15}???39.John threw a ball in the air from the roof of his house. He observed that the?height, h, of the ball above the ground at any time, t, after the ball is thrown can be modeled by a?section of?the function shown?below.? Part A. Find the domain of the function Part B.??Determine the domain of the portion of the graph representing the height of the ball as a function of time.Use words, numbers, and/or pictures to show your work./files/assess_files/d8e614d0-dc2e-4be6-8bba-1070868f1a63/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?????40.For what domain is the function f(x) = 2x – 4 positive???A.x ≥ 4??B.x > 4??C.x ≥ 2??D.x > 2???41.Which scenario would have negative values as part of its domain when y is a function of x???A.the temperature, y, of a cooling object after x hours??B.the number of hours of television that James watched, y, in x days??C.the amount of space available on a hard drive, y, after x months??D.the number of people at the pool, y, based on the temperature outside, x??? ................
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