Name: Unit 3 Practice Test Print out the practice test and write directly on the paper (you may use additional paper if necessary). Show work for each problem. If there is no work to show, explain your answer. Check answers on provided answer key and make corrections before submitting. Note: The answer key will not include the explanations. You must provide the explanations to earn credit. 1. Graph both functions to find the solution(s) to the system: f(x) = 2x - 2 g(x) = x2 + 2x -3 65 -4-3-2 -1 1 2 3 4 5 6 2. Graph the functions on the same coordinate plane. Sf (x) = x+2 lg(x) = -x2 +4 What are the solutions to the equation f(x) = g(x)? 6 5 -4-3 -2 -1 2 3 4 5 63. Is the function is even, odd or neither? How do you know? 4. Identify the relative minimum and relative maximum values over the interval [-2, 2]. 5. Is the function even, odd or neither? How do you know? f (x) =-2x3 -x6. The graph models the height of a roller coaster in its first 10 seconds of operation. Height (in meters) Time (in seconds) Select each correct answer. a) A height of 26m was hit 3 times in first 10 seconds b) The roller coaster started at a height of approximately 8m. c) The height of the roller coaster increased over the first 2 seconds d) The end behavior is the same on both ends of the graph. e) The height of the roller coaster decreased between 7 seconds and 9 seconds. 7. The function f (x) equals the number of feet above sea level a rock climber is at x minutes. After 45 minutes the climber reaches his maximum height of 800ft. above sea level. He stays on the mountain for 2 hours. What is the practical domain of f (x)?8. Compare the function 9(x) modeled by the graph and the function f (x) = 2 la: + 2| + 3. True or false. Explain. a) f (x) has a greater y intercept b) 9(1) > f(1) c) f (x) increases at a faster rate than gx)over interval [0, 3]. 9. The table of values represents the number of bacteria in a culture every 20 minutes. How much greater is the average rate of change over the interval [40, 60] than the interval [0, 20]? Time Number of bacteria I] 10!} 20 200 4B 400 60 300 \f