COORDINATE ALGEBRA UNIT 3: LINEAR AND EXPONENTIAL FUNCTIONS. 1. This coordinate plane shows the graph of an equation.

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1 OORINTE LGER UNIT 3: LINER N EXPONENTIL FUNTIONS 1. This coordinate plane shows the graph of an equation. Which statement about the solutions of the equation MUST be true? If the -value of a solution is positive, then the corresponding y-value is negative. If the -value of a solution is negative, then the corresponding y-value is positive. There is no solution for which both the - value and the y-value are integers. There is only one solution for which both the -value and the y-value are integers. 2. Which function shares at least one point with the function represented by the equation? 3. If f() = 2 +1 and the domain of f is {5, 25, 50}, what is range of f()? {5, 25, 50} {10, 50, 100} {11, 51, 101} {0, 5, 10} 4. endre modeled the growth of his ant population using the function 3 a( ) 2(4), where is in days. He started with 2 ants, and the population quadruples every 3 days. He evaluated the function at a(12) and calculated a(12)=512. What does his calculation say about the ant population? fter 4 days, endre will have 512 ants fter 12 days, endre will have 512 ants fter 512 days, endre will have 12 ants fter 512 days, endre will have about 171 ants 5. Write an equation that uses the previous term to describe the net term in the sequence below. Use n to represent the position of a term in the sequence. 6, 11, 16, The function table below shows the air temperature in degrees elsius over the course of 10 days. ay Temperature ( ) Increasing from day 1 to day 8; decreasing from day 8 to day 10 Increasing from day 1 today 3; decreasing from day 3 to day 10 Increasing from day 1 to day 3, day 5 to day 8; decreasing from day 3 to day 5, day 8 to day 10 Increasing from day 3 to day 5, day 8 to day 10; decreasing from day 1 to day 3, day 5 to day 8 layton ounty Public Schools Revised 5/2014

2 OORINTE LGER UNIT 3: LINER N EXPONENTIL FUNTIONS 7. Paul and Sarah are the same age. They measured their heights every 6 months. The graph below shows the results. 10. etermine the slope and the y-intercept of the graph of the equation 2 + y + 4 = These tables show points from two linear functions. How much taller was Paul when Paul and Sarah were 15 years old? 3 in. 5 in. 2 in. 4 in. 8. For Spring reak, Jenny and her friends are planning a road trip from Houston, Teas, to Los ngeles, alifornia. With almost the entire trip on Interstate 10, the total distance will be 1,255 miles one-way. If they average 55 miles per hour on the trip, to the nearest half hour, how long will it take Jenny and her friends to get there? 23 hours 25 hours 24.5 hours 11.5 hours 9. escribe the end behavior of y=2 Growth, with a horizontal asymptote of y =1 ecay, with a horizontal asymptote of y =0 ecay Growth, with a horizontal asymptote of y =1 Growth, with a horizontal asymptote of y =0 Which of these linear functions has a slope GRETER than the slope for Function 1 and LESS than the slope for Function 2? 12. Jamison is saving up his allowance to purchase a tablet personal computer. The cost of the tablet is $1, If he receives $16.00 a week in allowance, which of the following functions represents the remaining amount of money needed to buy the tablet, T(), after saving for weeks? T() = $1,168 T() = $1,184 + $16 T() = $18,944 T() = $1,184 - $16 layton ounty Public Schools Revised 5/2014

3 OORINTE LGER UNIT 3: LINER N EXPONENTIL FUNTIONS 13. The recursive formula for an arithmetic sequence is given below. What is the third term in the sequence? In which direction must the graph of be shifted to produce the graph of? Up Left Right own 15. If the graph of is shifted down 4 units, what would be the equation of the new graph? 17. Identify the linear function that correctly fits the situation below. ianca ordered a party sandwich from a sandwich shop that charges $0.35 per inch for party sandwiches and a $2.00 delivery fee. How much did she pay if the party sandwich she ordered and had delivered was inches long? 18. This coordinate plane shows two functions of. f() is an increasing linear function. g() is an increasing eponential function. 16. Which function family would be used to solve the following question? Sheldon is cleaning out the closet in his spare bedroom. He has been able to decrease the number of items in the closet by half each month. If he started with 192 items in the closet, how many items will be in the closet after 2 months? Logarithmic Function Family Linear Function Family bsolute Value Function Family Eponential Function Family ased on the information, which statement is true for all real values of the domain 0? f ()= g() for only one value in the domain f ()= g() for many values in the domain f ()>g() for all values in the domain f ()<g() for all values in the domain layton ounty Public Schools Revised 5/2014

4 OORINTE LGER UNIT 3: LINER N EXPONENTIL FUNTIONS 19. Sara deposited her money in a savings account and checks the balance of the account each month. Her initial balance and the balance after the first four months are listed below. $40, $42, $44.10, $46.31, $48.62 What is the constant percent rate in the geometric series? 2% 5% 10% 20% 20. ompare the functions below. 21. company made $20,000 in revenue in one year. The president of the company determined that the company s revenue needs to increase by 10% each year for it to be successful. If t represents the number of years that have passed R()represents the yearly revenue goal, which epression could the company president use to determine the revenue goal for any year? 22. n arithmetic sequence is shown below. What is the common difference of the arithmetic sequence? Which of the statements is true? t = 3, the rate of change of f() is equal to the rate of change of g(). s increases, the rate of change of g() eceeds the rate of change of f(). s increases, the rate of change of f() eceeds the rate of change of g(). For every value of, the rate of change of g() eceeds the rate of change of f(). layton ounty Public Schools Revised 5/2014

5 OORINTE LGER UNIT 3: LINER N EXPONENTIL FUNTIONS ONSTRUTE RESPONSES For questions complete as directed by the teacher. 23. rectangular field is 100 meters in width and 120 meters in length. The dimensions of the field will be epanded by meters in each direction, as shown in the diagram. 25. The function f() and g() have key features that may be compared. The function f() is represented in the function table below, while What are the domains and ranges of f() and g()? Write a function to describe the perimeter of the new field in terms of. 24. continuous function is represented by a subset in the function table below Is a linear function or an eponential function? Use the values in the table to show the relationship between consecutive values of when increases by 1 From your study of this particular function, make a generalization about this type of function s (identified in part ) values across equals intervals. layton ounty Public Schools Revised 5/2014