1)Determine the domain and range of each function. A) B) f(x) = -|x| - 2 C) Q2) Consider the function 1. Find and simplify a rule for the inverse. Name the inverse g -1 . Show your work. 2. Graph functions g and g -1 on the same coordinate plane. Explain how the graphs verify that the rule for g -1 is correct. Then explain how the graph verifies that g -1 is a function. 3. Use function composition to show that the rule for g -1 is correct. Answer: Q3)Two rockets are launched from the ground at the same time. The height of Rocket A, in feet, is modeled by h(t) = -16t 2 + 144t, where t is the time in seconds after the launch. The height of Rocket B, in feet, is shown in the graph. 1. Which rocket is in the air longer? How much longer? Show your work or explain your reasoning. 2. Which rocket reaches a greater height? How much greater? Show your work or explain your reasoning. Q4) A bag contains 12 red checkers and 6 black checkers. You will randomly select two checkers, one at a time, without replacement. 1. Fill in the probabilities on each branch of the tree diagram below. Write the probabilities as fractions in simplified form. 2. In how many ways can you select two checkers so that at least one of the checkers is red? List the ways. 3. What is the probability that you select a black checker and then a red checker? Show your work. Answer: Q5)The table shows relative frequencies of player's outcomes for two games. One player will be randomly selected to be interviewed. 1. Kirk said that you have a better chance of selecting a player who won Game 1 than Game 2. Do you agree? Explain. 2. Carlee said that you have a better chance of selecting a player who won Game 2 if you choose someone who won Game 1. Do you agree? Explain