Answer Happy

Identify the choice that best completes the statement or answers the question 1. Which of the following functions represents f(x)=9* after a reflection on the x-axis and a vertical translation 5 units down? 8(x) = -(9*-5) c. g(x)=-(⁹*)-5 d.g(x) = - (9* ) + 5 b. g(x)=9*+s 2. What are the domain and range for the function f(x) = 4(2-2+³) - 7? a. Domain {xER|x>7} c. Domain= {xER) Range (yeRy>-7} b. Domain (xER} d. Domain (xER) Range = {v=R) Range (yeRy<-7} 3. Which function describes exponential decay? a. f(x)-6(1.01)* c. f(x) - 25(0.8)* b. f(x)-3.4(40)2 d. f(x) = 8(17) 4. A bucket contains 425 mL of water. The capacity of water in the bucket increases 4.8% each hour. Which equation models the situation? a. C(t) = 425(1.048) C. C(t) = 425(0.952) b. C(t)-425(4.8) d. C(t)-425(0.048)' 5. Solve for x. Leave your answer as an exact value. a) 32-7-93x+2 [6] Range = {y=R) b) 43-3-8(4)
6. Sketch f(x) = 4()**²-3. State the mapping rule and use a minimum of 5 points. Clearly label all properties on the graph. [5] 10 8 10 -10 8 6 4 2 198O 6 4 2 2 4 6 -2 -4 -6 -8 -10 Part B- App Show your work for full marks. 1. The half-life of radium is 1620 years. If a laboratory has 12 grams of radium, how long will it take before it has 1.5 grams of radium left? [2] N
2. A population of yeast cells can double in 2 h. Assume an initial population of 120 cells. a) Write an equation that can be used to determine the population of cells at r hours. [1] b) Use your equation to determine the population after 210 min. c) How many hours would it take for the population to reach 3932160 cells? [2] d) What are the domain and range for this situation? 3. The 50 cent Bluenose is one of Canada's most famous postage stamps. In 1930 it could be bought at the post office for $0.50. In 2000, a stamp in excellent condition was sold at an auction for $512. Determine the doubling time for the stamp's value. [4]
Part C - Thinking Round answer to two decimal places if necessary. 1. A group of yeast cells doubles every 4 h. There is a population of 100 at 10 a.m. Write the function that models the growth of the population. Determine the population at 5 p.m. [3] 2. A species of bacteria has a population of 250 at 6 a.m. It doubles every 8 hours. a) Determine the equation that models the growth of the population. [2] b) What is the population at 9 p.m.? [2] Part D - Communication 1. For the transformed function below, state the base (parent) function and then describe the transformations in the order in which they should be applied. c)h(x) = -(0.5)-1 [3]