1 (1 point) Solve the problem. A balloon in the shape of a sphere is deflating. Given that t represents the time, in minutes, since it began losing air, the radius of the balloon (in cm) is V(r) = Let the equation r3 represent the volume of a sphere of radius r. Find and interpret (V r)(t). Question 1 options: a) (V r)(t) = 21 - (21 - t)3; This is the volume of the air lost by the balloon (in cm3) as a function of time (in minutes). b) (V r)(t) = (21 - t)3; This is the volume of the air lost by the balloon (in cm3) as a function of time (in minutes). c) (V r)(t) = (21 - t)3; This is the volume of the balloon (in cm3) as a function of time (in minutes). d) (V r)(t) = (t - 21)3; This is the volume of the balloon (in cm3) as a function of time (in minutes). Save Question 2 (1 point) Solve the problem. The population of a small country increases according to the function where t is measured in years. How many people will the country have after 1 years? Question 2 options: a) 9,780,058 b) 2,617,821 c) 4,247,425 d) 2,550,503 Save Question 3 (1 point) Solve the problem. A size 8 dress in Country C is size -24 in Country D. A function that converts dress sizes in Country C to those in Country D is function. Find a formula for the inverse of this Question 3 options: a) f-1(x) = x - 32 b) f-1(x) = x + 32 c) d) f-1(x) = f-1(x) = Save Question 4 (1 point) Solve the problem. A manufacturer of DVD players has monthly fixed costs of $7500 and variable costs of $70 per DVD player and it sells the DVD players for $140 per unit. Write the function that models the profit P from the production and sale of x DVD players in a month. Question 4 options: a) P = 210x - 7500 b) P = 70x - 7500 c) P = 7500x - 70 d) P = 70x + 7500 Save Question 5 (1 point) Determine whether or not the given function is an exponential function. y = 7xe Question 5 options: a) not exponential b) exponential Save Question 6 (1 point) Determine whether or not the function is one-to-one. Question 6 options: a) Yes b) No Save Question 7 (1 point) Decide whether or not the functions are inverses of each other. f(x) = 4x + 16, g(x) = x-4 Question 7 options: a) No b) Yes Save Question 8 (1 point) Find the requested function value. Find (g f)(-13) when f(x) = Question 8 options: a) -22 and g(x) = 9x + 2. b) -16 c) - d) 230 Save Question 9 (1 point) Find the function value. Let f(x) = e3x. Find f(0.47), rounded to four decimal places. Question 9 options: a) 4.0960 b) -4.096 c) 2.6814 d) -2.6814 Save Question 10 (1 point) Evaluate. If f(x) = x3 and g(x) = x - 3, evaluate (3). Question 10 options: a) 1 b) 27 c) Undefined d) 0 Save Question 11 (1 point) Find the requested composition of functions. Given f(x) = -3x + 4 and g(x) = 4x + 2, find (g f)(x). Question 11 options: a) -12x - 14 b) -12x + 10 c) 12x + 18 d) -12x + 18 Save Question 12 (1 point) Find the specified domain and express it in interval notation. For f(x) = 2x - 5 and g(x) = , what is the domain of Question 12 options: a) [0, ) b) [9, ) c) (-9, 9) d) (-9, ) Save Question 13 (1 point) Find the inverse of the function. f(x) = x3 - 3 Question 13 options: a) f-1(x) = b) f-1(x) = c) f-1(x) = +3 d) Not a one-to-one function Save Question 14 (1 point) (x)? If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one." Question 14 options: a) b) Not one-to-one c) d) Save Question 15 (1 point) For the pair of functions, perform the indicated operation. f(x) = 4 - 8x, g(x) = -2x2 + 8 Question 15 options: a) -10x + 12 b) -2x2 + 4 c) -10x2 - 8x + 12 d) -2x2 - 8x + 12 Save Question 16 (1 point) Find (f + g)(x). Graph the function. f(x) = 3-x Question 16 options: a) b) c) d) Save Question 17 (1 point) The graph of the function y = f(x) is given. On the same axes, sketch the graph of f1 (x). Use a dashed line for the inverse function. Question 17 options: a) b) c) d)