Please JUST answer the HIGHLIGHTED PROBLEMS (THESE ARE LISTED LAST TO FIRST)

Q4

M Inbox (6,622) - akufus@gmail x O Accessible Canvas Domain Li x <_> Workbook Activity Score 9 * *Homework Help - Q&A from x 5 CamScanner 03-06-2022 08. x + V X C @ File | C:/Users/akufu/OneDrive/Desktop/workbook%209.pdf Q E Update E CamScanner 03-06-2022 08.39 1 /4 137% + 100 Chapter 7 Exponential ared Logarithmic Fuscaura b. Use your calculator to graph the 3. Which of the following tables could describe exponential functions? Explain function Me) for a srg 15. Sketch why of why not. If the function is exponential, find its growth of decay factor your graph at right. a. z b, 0 7 CAN d h s C. How many days should they run the 1 14 0 1875 2 2 17 1 4 1 375 campaign in order for Chip.O's to be 11 familiar to 51 200 people? Use 3 56 2 75 19 algebraic methods to find your 112 4 35 3 32 8 15 4 625 14 answer, and verify on your graph 1 Activity 3 Using Graphs and Tables 1. a. Graph g= 2it in the window Xmin = -4.7 Xmax = 4.7 Ymin -0 Ymax = 10 Sketch the graph in the space at right: Wrap-Up b. Use your graph to solve 2" = 6. In this Lesson, we worked on the following skills and goals related to exponential Round to the nearest hundredth functions Graphing exponential functions Distinguishing exponential functions from power functions and other 2. The graph of s(3) - That is shown in functions Solving exponential equations with the same base the figure. Solving exponential equations graphically a. Read the value of P from the graph 12 1. Use the order of operations to explain why F(x) = 23) and G(x] = 6 are b. Make a short table of values for the different. Confirm by evaluating F[4) and G(4). function by reading values from the 2. How is the graph of /(s) = {(3") different from the graph of g(=) = 217 graph 3. What is the difference between the formula for a power function and the formula for an exponential function? 4. How can you recognize an exponential function from a table of values? c. Does your table confirm that the function is exponential? How do you Know? d. Use your table to calculate the decay factor, & e. Using your answers to parts (al and (L write a formula for g(z). 3 Scanned with CamScanner O 8:48 AM 3/6/2022M Inbox (6,622) - akufus@gmail x O Accessible Canvas Domain Li x <_> Workbook Activity Score 9 * *Homework Help - Q&A from x 5 CamScanner 03-06-2022 08. x + V X > C @ File | C:/Users/akufu/OneDrive/Desktop/workbook%209.pdf Q E Update E CamScanner 03-06-2022 08.39 2 /4 137% + 1 Chapter T Erpower Lesson 7.2 Exponential Functions or neither. c. Decide whether each function is an exponential function, a power function, Activity 1 A New Kind of Function (1) F(=) = 1.5 1. The functions that describe exponential growth and decay are called (2) G(x] = 3 exponential functions: (3] H(r) = all (4) R(z) = (32) a. Make a table of values and graph Activity 2 Solving Exponential Equations /(2) = (25). 1. a. What is an exponential equation? 2 -3 -2 1 0 1 2 3 b. One way to solve exponential equations is to write both sides of the What is the y-intercept of the graph? equation as powers with the same If two equivalent powers have the same base, then their _ must be equal also. What is the =-intercept c. Solve the equation 31- - 2713 by writing each side as a power of base 3. Give the equations of any asymptotes Write 27 as a power of base I b. Make a table of values and graph Use the laws of exponents to simplify the right side. j"- = 2 3 -2 -1 0 1 2 3 Equate the exponents Solve for & What is the u-intercept of the graph? 2 What is the x-intercept d. Follow the steps to solve 21-1 - 81/2 Give the equations of any asymptotes. Write v/4 and s an powers of base 2 The the laws of exponents to simplify the right side 21-1 - 2. a. What does the value of a tell you about the graph? Equate the exponents What does the value of b tell you about the graph? Solve for at b. Find the y-intercept of each exponential function and decide whether the graph is increasing or decreasing. 2. During an advertising campaign, the makers of Chip-O's corn chips estimate () =) - 1.80.08) (2) (3) - 0 06(1.ng)" that the number of people who have heard of Chip-O's increases by a factor of B every 4 days. a. If 100 people are given trial bags of Chip-O's to start the campaign, write a 3 (3) A(x) - ( ) function MY] for the number of people who have heard of Chip-D's aftert days of advertising Scanned with CamScanner O 8:49 AM 3/6/2022M Inbox (6,622) - akufus@gmail x O Accessible Canvas Domain Li X <_> Workbook Activity Score 9 * *Homework Help - Q&A from x 5 CamScanner 03-06-2022 08. x + V X > C @ File | C:/Users/akufu/OneDrive/Desktop/workbook%209.pdf Q E Update E CamScanner 03-06-2022 08.39 3 / 4 | - 137% + 1 Chapter 7 Exponential and Logoutvnic Functions Lesson T.1 Liporental Growth and Decay b. How many bees will there be 2. In 1998, the average annual cost of a public college was $10,069, and costs after 4 months? were climbing by 6%% per year. a. Write a formula for Cir], the cost of one year of college f years after 1990 404 4 After 6 weeks? b. How much would a year of college c. Graph your function using a cost in 20207 calculator, then sketch the graph on the grid at right. c. Complete the table and sketch a graph of Cek Activity 2 Percent Increase 1. Imagine that you take a job that pays $1000 a month, and every year you'll 4 0 5 10 15 20 25 get a 5%% raise. You would like a formula that allows you to compute your salary, S(1], after t years. a. Compute your new salary after working for one year. Activity 3 Exponential Decay ce 1940, when 5000 5(1) = 1000 4 0.06[1900) = people lived there. At each census thereafter (taken at 10-year intervals) the old salary + raise population declined to approximately 0.90 of its earlier figure. Compute your salary after working for two years: a. Complete the table showing the population, Pit), of the townt decades after 1940. There is a faster way to compute each year's new salary 0 5000 P(0) = 5000 9(1] - 1000 + 0.06(1000) = 1000(1 + 0.04) = 1000(1 06) = 1050 1 P(1) - 5000 -0.90 - old salary + raise factor out 1000 2 P(2) - (5000 . 0.50] . 0.90 3 We can compute your new salary by multiplying the old salary by 105. 4 Use this method to compute your salary after working for two years: 2 P(5) 5(2) - 1050 + 0.05[1060) - old salary + raise factor out 1050 b. Plot the data points and connect them with a smooth curve. b. Continue the pattern: Write a function that gives the To compute your new salary population of the town at any timer every year, multiply your old 0 1000 in decades after 1940. salary by 1.05. (Round to the 1 1050 1000(1.05) nearest penny.} 2 1102.50 1050(1.06] - BOOO(1.05)- 3 d. Graph your function from part (c) A 1302 50(1.06] = 1000 1,06)1- using a calculator. (Use the table to choose an appropriate window) e. Evaluate your function to find the c. The table shows that Sit) is an exponential function What is its growth population of the tow factor? Write a formula for your salary S(1) after t years. f. What was the population in 19957 Dried 3 Scanned with CamScanner O 8:49 AM 3/6/2022M Inbox (6,622) - akufus@gmail x O Accessible Canvas Domain Li X <_> Workbook Activity Score 9 * *Homework Help - Q&A from x 5 CamScanner 03-06-2022 08. x + V X C @ File | C:/Users/akufu/OneDrive/Desktop/workbook%209.pdf Q E Update E CamScanner 03-06-2022 08.39 72% + Scanned with CamScanner Lesson 7.1 Exponential Growth and Decay Activity 1 Population Growth 1. In a laboratory experiment, researchers establish a colony of 100 bacteria and monitor its growth, The colony triples in population every day. a. Complete the table showing the population, Pit), of bacteriat days later. P10] = 100 0 100 P(1) - 100 .3- 1 P(2) - [400 . 3] . 3= 2 3 P(3) - 4 P(G) - 2 b. Plot the data points from the table and connect them with a smooth curve. c. Write a function that gives the population of the colony at any time, r. in days. d. Graph your function from part (c) using a calculator, (Use the table to choose an appropriate window.) Evaluate your function to find the number of bacteria present after & days. 3 How many bacteria are present after 36 hours? 2. A beekeeper starts a new hive with 20 insects. The population increases in size by a factor of 1.8 every month. . Write a formula for the population of bees, B[!), after months. Scanned with CamScanner LO 8:50 AM A 3/6/2022