8:06 PM Thu Nov 30 @ 22% imathas.rationalreasoning.net a a. The table below shows some input-output pairs for an exponential function f. 0 2 3 f(z) 51.2 6.4 0.8 0.1 i. Determine the 1-unit growth factor for f. Preview ii. Determine the 1-unit percent change for f. % Preview iii. Determine the initial value for f (the output value when the input is 0.) f(0) = Preview iv. Write a function formula for f. f(a) =1 Preview b. The table below shows some input-output pairs for an exponential function g. 2 3 5 9(20) 297 534.6 962.28 3117.7872 i. Determine the 1-unit growth factor for g. Preview ii. Determine the 1-unit percent change for g. Preview % Preview iii. Determine the initial value for g (the output value when the input is 0.) 9(0) = Preview iv. Write a function formula for g. g(x) = PreviewC The function f(x) = 3 is often referred to as a tripling function because f(x) triples whenever a changes by 1. But this is not the only example of a tripling function. Give two more distinct examples of tripling functions (functions whose values triple whenever the independent variable changes by 1). . f(ac) = 32 . g(a) = Preview . h(a) = Preview Box 1: Enter your answer as an expression. Example: 3x 2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x 2+1, x/5, (a+b)/c Be sure your variables match those in the question Submit Question 2. Points possible: 1 License Unlimited attempts.8207 PM Thu Nov 30 7 22% l Imathasmatlonalreasomngnet The plot below shows the graph of an exponential function f. Notice that the points ( 2, 1.83) and ( 1, 2.2) are on the graph of f. 2 2 Tip: Answer each part exactly without rounding. For instance, if the answer is E' submit E and not 0.666. The rounding errors compound and could cause a correct process to be graded as incorrect due to the rounding errors. . Detemiine the l-unit growth factor for f. /V . \ :1 t. mew 7 . Determine the l-unit percent change for f. \ / 0/ i ' '. :1 ., wewew/ . Determine the initial value of f. . Write a function formula for f. M) = :3 {Preview} Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2A3, 5+4) Enter DNE for Does Not Exist, 00 for Innity 8206 PM Thu Nov 30 co. e: (97 22%1Fv imathas.rationalreasoning.net i Professor Lapan's Helpful Hint: Be precise when answering each part of a question as the computer evaluator expects a high degree of precrsron. For instance, instead of approxrmatmg something like E to 0.3333, use the fraction E. Each error in precision builds error, so if you approximate at one step you may be marked correctly once, but incorrectly later in the question when you reuse that error in precision. C The function f (m) = 3"" is an exponential function and is one example of a tripling function. a. For any value of 2:, at 1) is how many times as large as at)? [:1 times as large Preview be For any value of m, f(x W 2) is how many times as large as f(x)? :1 times as large Preview c. If 2: increases by 4, f (as) becomes how many times as large? :] times as large Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2A3, 5+4) Enter DNE for Does Not Exist, 00 for Innity Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243, 5+4) Enter DNE for Does Not Exist, 00 for Innity Box 3: Enter your answer as a number (like 5, 3, 2.2172) or as a calculation (like 5/3, 2A3, 5+4) Enter DNE for Does Not Exist, 00 for Innity Submit Question 1. Points possible: 3 License Unlimited attempts. 8:06 PM Thu Nov 30 u- ? 22% I imathasrationalreasoning.net i The table below shows some input-output pairs for an exponential mction f. f($) 244 5.6000 3.44 8.4000 a. Determine the values of the following ratios, which are for consecutive f values in the table. Preview Preview Preview b. In the table, how much does as change by (not f (m)) when you move down 1 row (such as from 2.24 to 3.24)? : Preview c. Determine the 1-unit growth factor of f. [:1 Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2A3, 5+4) Enter DNE for Does Not Exist, 00 for Innity Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2A3, 5+4) Enter DNE for Does Not Exist, 00 for Innity Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243, 5+4)