What is the range of the function? r (as) = 3\" 6 Enter your answer' in interval notation, in the box. range: E Initially, 40 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population everyr 11 hours. HOW can this information be interpreted? (3' Select True or False for each statement. Statement True False The scenario can be modeled by the function f (a?) = 40(3) 3 , where f (3:) represents the population O O of bacteria X hours after the bacteria are placed in the Petri dish. After 4 hours, there are approximately 60 bacteria. 0 O 2 Solve. 363 +47 = V6 Enter your answer in the box. Enter any fraction as a simplified fraction.\f4 5 6 -3 -5 -2 -1 2 3 -4 10 ch 8 7 O 5 X \\-2 6 O -5 -3 -1 1 2 3 4 5 4 -1 3 -3 -3 5 6 -2 -1 2 3 4 -1Solve the equation. 1627-1 . (1) 242 - 8-1 Enter your in the box. Enter any fraction as a simplified fraction. X =The graph of a non-invertible function passes through the points [3, 2), [I], 5), and [3, 2)_ How is the inverse of this function graphed? Drag a phrase or group of coordinates into each box to correctly complete the statement. The: Iota function and its inverse switch. The graph of the inverse of this function passes through the points: I. I I I. ________________________ J minimums and maximums domain and range domain and xcoordinates (3, 2), (5, 0), and (31 2) (27 _3)r (5:! 0)=and(_213) (2:! _3)r (0:! 5): and(_213) Which graph shows the function f (a) = log2 (a + 2)? 2 3 1 -3 -1 2 5 6 7 8 9 10 -1 O -5 -4 -3 -2 2 3 4 5 6 7 8 O -2 -1 -3 -2 -4 -3 -5 -4 -E -7 cn 3 O 1 2 3 4 5 6 7 8 9 10 11 -2 -1 O -1 -3 -2 -1 2 3 4 5 6 7 8 9 -1 -2\fWhich function is the inverse of g (x) = 2vx - 3 + 4? of (a) = 2-2) 4 + 3 O f (a) = (2-2)3 64 +3 O f (a) = (2-4) 2 + 3 Of(a) = (2-4) 8 + 3How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(:r:} = (a: + 1}2 3 is [1,cuo) the inverse of the function is I l' and the domain of the inverse function is: l_ I I I I I. _____________________ .l I. _____________________ .l How can the inverse relationship between an exponential function and its inverse logarithmic function be explained? 10 Drag a phrase or equation into each box to correctly complete the statements. The inverse of the exponential function f (a) = 3-2 is While the graph of the exponential function - = is a shift of 2 units from its parent function, the logarithmic function is a shift of 2 units from its parent function. down g(x) = log3 (x + 2) up g (x) = log3 x + 2 right g (x) = 10g3 (2 - 2) leftSolve the equation. log3 ( = 2x - 1 Enter your answer in the box. Enter a fractional answer as a simplified fraction.Which expression is equivalent to log, 2? O log2 5 log 5 O log 2 log- 2 O log25 O In 2 In 5Given log34 % 1.262 and log37 m 1.771, what is the value of 1033 (%)? Enter your answer in the box. 1083 (%) =E What is the value of [egg 32? Enter your answer in the box. [egg 32 = E What is the value of the logarithmic or exponential expression? Select True or False for each statement. Statement True False 4111 vs = 2 o o How can the logarithmic expression be written? Select True or False for each statement. Statement True False log: V - 4log3 w = log3 (v - 4w) O O log, (nvm ) = login + -logAm O O log2 = log2c + 3log2d - -log2e O OSolve the equation. \\ \\ log2 (x) +1032 (23: + 3) = 1 Drag the choice or choices into the box to correctly complete the table. Solution to toga (32} + log? (23 + 3] = l Mary Ellen invests $4000 in an account that earns 1.8% annual interest compounded monthly. How many years will it take for the balance of this account to reach $6000? Enter your answer rounded to the nearest tenth in the box. \\:| years A sample originally contains 21 grams of a radioactive isotope. After 45 days, 1T3 grams of the isotope remain in the sample. What is the half-life of the isotope? Enter your answer rounded to the nearest day in the box. A E days What is the solution to the equation? -In (x + 37) = In (x2 -25) - In (x + 5) O x = 12 only O x = -12 and x = 1 O x= -12 only O x = 1 and x = 12Elliot takes a roast out of the oven when the internal temperature of the roast is 165F. After 12 minutes' the temperature of the roast drops to 140F. The temperature of the room is 70F. \\ Hon.r long does it take for the temperature of the roast to drop to 125F? Use the Newton's Law of Cooling equation, T(t} = TA + [To TA) e4d _ Enter your answer in the box. Round your answer to the nearest minute. E minutes