POSSIBLE POINTS: 2 The function g is given by g (113} = 32. The function n is given by 51(3) = 27:. For which of the following is the graph of n the image of the graph of 9'? Q A horizontal dilation with a factor of 3, O A vertical dilation with factor of g Q A vertical dilation with a factor of 3. O A horizontal dilation with a factor of %. POSSIBLE POINTS: 2 The function k is given by k (a) = -4 . 8(-3) Which of the following is the value for k (3)? O -32 O 1 2V/2 0 -2V/2 OThe function g given by g (a ) = 4" . Which of the following expressions could be used to define f (a) = 2 O 2(21-3) O 327 You must submit 2.4 assignment BEFORE the midnight of October 19. O If you miss the deadline, then you may do an alternative assignment for less credit. You MUST email me for the alternative assignment. O 2 O tolThe function g is given by g (m) = 3". The function n is given by n (22} = j?) _ For which of the following is the graph ofn the image of the graph of g? Q A vertical translation to the left by 3 units and a reflection over the :1? axis. 0 A horizontal translation to the right by 3 units and a reflection over the :1: axis. F You must complete and submit by the midnight of Thursday, 10-1923. If you miss the deadline, then you may submit an 'J altemative assignment. However. you MUST email me for it. Q A vertical translation to the right by 3 units and a reflection otter the :2: axis. O A horizontal translation to the rigth by 3 units and a reflection over the y axis. The function g given by g (@) = 64(#) Which of the following expressions could be used to define g (I)? O 32 You must submit 2.4 assignment BEFORE the midnight of October 19. O If you miss the deadline, then you may do an alternative assignment for less credit. You MUST email me for the alternative assignment. 0 8 O 2 . 32 O 16-40Question 1 Water hyacinth is an invasive plant species found in many lakes that typically grows at a rate of 7%% per day. As part of a study, a scientist introduces a 150-gram sample of water hyacinth into a testing pool. Which of the following functions gives the amount of water hyacinth in the testing pool t weeks after the sample is introduced? (Note: 1 week is 7 days.) A f (t) = 150 (1 + 0.07(1/7) ) B g(t) = 150 (1.07(1/7) )* C h(t) =150(1 + 0.07(7) )* D k(t) = 150 (1.07(7) )Question 2 0 2 4 6 f(x) 3 48 768 12,288 The table gives values of the function f for selected values of . Which of the following expressions could define f(I) ? A 2+ 47 B 3 . 41 C 3 . 167 D 4. 31Question 3 Debt (y) Month (I) (dollars) 1 620 4 1,083 5 1,215 7 1,902 The table gives the amount of debt, in dollars, on an individual's credit card for certain months after opening the credit card. Using an exponential regression y = ab to model these data, what is the debt at month 24 predicted by the exponential function model, to the nearest dollar? (Assume that the debt continues and that no payments are made to reduce the debt.) (A 5,267 B 15,187 C 42,159 D 1,972,745Question 4 The value, in millions of dollars, of transactions processed by an online payment platform is modeled by the function M. The value is expected to increase by 6.1%% each quarter of a year. At time t = 0 years, 54 million dollars of transactions were processed. If t is measured in years, which of the following is an expression for M(t) ? (Note: A quarter is one fourth of a year.) A 54(0.061) (t/4) B 54(0.061) (4t) C 54(1.061) (t/4) D 54(1.061) (4t)Question 5 lodine-131 has a half-life of 8 days. In a particular sample, the amount of iodine-131 remaining after d days can be modeled by the function h given by h(d) = An(0.5)(", where An is the amount of iodine-131 in the sample at time d = 0. Which of the following functions k models the amount of iodine-131 remaining after t hours, where An is the amount of iodine-131 in the sample at time t = 0 ? (There are 24 hours in a day, so t = 24d.) A k(t) = Ao(0.5) (t/24) B k(t) = Ao (0.5(1/24) ) (8t) k(t) = Ao ( 0.5 (24) ) (t/8) (261/1) 9'0 OV = (7)4 @Question 6 Time t 1 2 3 (hours) Mold 0.3 0.75 1.875 (square micrometers) The table gives the amount of mold, in square micrometers, on a certain food at time t hours. If the amount of mold grows exponentially, what would the amount of mold be, in square micrometers, at time t = 3.75 ? A 1.538 B 3.728 C 4.688 D 9.320