Current Attempt in Progress Please View the following video before answering this question. Section 5.4' Example 1: Matching graphs and equations Match each of the graphs {A to D) shown below to one of the following equations and explain your answers. A in! (n a. f(x) = 4.5(2)' \"Ir-3'0\" v is the graph of fix] because it has a vertical intercept of l and a b. g(x) = 45(3)" v is the graph of g(x) because it has a vertical intercept of l and a c.j(x) = \"(0.6V v is the graph of jot} because it has a vertical intercept of l and a d.k(_t) = 15(03)" v is the graph of Mx) because it has a vertical intercept of l and a eTextbook and Media of of of of Question 20 of 20 - 15 E . .. View Policies Current Attempt in Progress Generate a quick sketch of the following functions, without the aid of technology. f(x) = 3(3.5)* g(x) = 3(0.4)x h(x) = 3+ 2x k(x) =3-7x a. As X -> + co, which function(s) approach + co ? V b. As x -> + co, which function(s) approach O? V C. As x - - co, which function(s) approach - co? V d. As x - - co, which function(s) approach O? VQuestion 14 of 20 - I 5 E View Policies Current Attempt in Progress Please View the following video before answering this question Video Clip Section 5.4. Example 1: Matching Graphs and unations Given the equation y = l4(0.5)x. what is the vertical intercept? 0 {0,28} 0 (0.0.5) 0 {0,14} 0 (0.7) O ((13.5) Each of the following three exponential functions is in the standard form y = C . a*. VI = (0.5) 2*, y2 = 2 . 2*, 13 = 5 . 2x a. In each case identify C and a. V1: C = i , a= i y2: C= i V3: C = i , a = i b. Specify whether each function represents growth or decay. In particular, for each unit increase in x, what happens to y? y1: y2: y3: c. Do all three curves intersect? If so, where? If they don't intersect, input NA in every field. ( x, y ) = ( d. In the first quadrant, which curve should be on top? Which in the middle? Which on the bottom? e. Find horizontal asymptote of all functions. y = i f. For each function, generate a small table of values. X y1 Y2 y3 i i i 1 i i i 2 i i g. Graph the three functions on the same grid.Question 12 of 20 - f 5 E E View Policies Current Attempt in Progress Mute swans were imported from Europe in the nineteenth century to grace ponds. Now there is concern that their population is growing too rapidly, edging out native species. During the 20005, many states created mute swan controls. The goal was to reduce the mute swan count from 14.3] 3 in 2002 to 3000 swans by 2013. a. Using a linear model, what would be the average rate of change per year needed to bring the swan population to that level? Round your answer to one decimal place. a mute swans per year b. Using an exponential model, what would be the decay factor needed? Round your answer to three decimal places. a swans per year eTextbook and Media Save for Later Attempts: 0 of 3 USEd Submit Ans er Using multiple attempts will impact vour score. 9:32 Question 11 of 20 View Policies Current Attempt in Progress Which of these functions has the most rapid growth? Which has the most rapid decay? i. f(r) = 100- 1.07" ii. 30'} = 28 - 0.86! iii. Mr) 2 4000 - 1.22' iv. r(r) = 45.4 - 0.959" v. P0} = 32.000 - l.0|9|r The most rapid growth is in the function v . The most rapid decay is in the function v . Question 15 of 20 - I 5 E View Policies Current Attempt in Progress Identify any horizontal asymptotes for the function y = 150 12x. If the function has no horizontal asymptote, type \"NA\". y: eTextbook and Media Save for Later Attempts:00f3 used Using multiple attempts will impact your score. 25% score reduction after attempt 2 Question 18 of 20 \"E i. For each function. generate a small table of values. . . w \"I 3. Graph the three functions on the same grld