PLEASE ONLY USE GRADE 11 FUNCTIONS MATH TO SOLVE ALL THE PROBLEMS. SHOW YOUR WORK FOR ALL (PENCIL AND PAPER). Need it in less than an hour, thank you

Question 11 (3 points) Determine an equation in the form y = a . b" + C for the exponential function with base 3 that passes through the point (3,1) and has an asymptote at y = -2.Question 12 (4 points) Simplify the following expression. Use positive exponents in your final answer. Show all of your work for full marks! (4 marks) (125 3 ,# ) (275 21-5 ) 9st-7Question 13 (4 points) Complete the table below. Function Is this Exponential Growth or What is the Growth or Decay Rate? Exponential Decay? a) V (t) = 3(1.23)' b) P (t) = 450(0.84)'Question 14 (7 points) An exponential function with a base of 3, has been stretched vertically by a factor IN of 2, reflected in the y-axis, compressed horizontally by a factor of 3 and translated 5 units right and 4 units up. a) Write an equation of the function in function notation. (4 marks) b) State the domain and range of the function. (3 marks)Question 15 (9 points) Consider the transformed exponential function given by the equation f(x) = -= (32(x-1)) + 3. a) State the base function and describe the correct sequence of transformations. [3 marks] b) Complete the mapping chart below and use it to sketch the graph of the transformed function. Show all of your work! [6 marks] Base Function Mapping Transformed Function x y X + d ay + c (x, y) k -2 - O L 2Question 16 (7 points) A stockbroker tracks the progress of the price of a stock for several months and notices an exponential pattern. The results are shown in the table below. Month (t) 0 2 3 4 5 Stock Price $26.00 $27.82 $29.77 $31.85 $34.08 $36.47 P(t) a) From the table of values, determine an equation that models the stock's growth. Show your work for full marks! [2 marks] b) Explain how each part of your equation is related to the information from the table. [2 marks] c) Approximately how long it will take for the stock to reach a price of $100 if the current trend continues? Justify your answer. [2 marks] d) Suggest a reason why your answer in part 'c' is unrealistic? [1 mark]Question 17 (4 points) A laptop computer loses its value each month after it is purchased. Its value as a function of time, in months, is modelled by (m) = 2400(0.95)" a) Determine the initial value of the laptop. [1 mark] b) Determine the depreciation rate of the laptop. [1 mark] c) What is the value of the laptop after 3 years? Show your work! [2 marks]