Algebra 1 Worksheet U2-7 Name: _________________________ Date: _____________ For each table below, please state the following: a. Type of function b. List all increasing and/or decreasing intervals c. Describe the rate at which the function is increasing or decreasing during the listed intervals in part b. 1. x 2. y -3 -2 -1 0 1 2 3 4 5 x -2 1 4 7 10 13 16 19 22 -5 -2 1 4 7 10 13 16 19 y -347 -68 -5 4 121 508 1327 2740 4909 3. x 2 4 6 8 10 12 14 16 18 a. a. a. b. b. b. c. c. c. 4. 5. 6. x -7 -5 -3 -1 1 3 5 7 9 y 0.008 0.031 0.125 0.5 2 8 32 128 512 x -10 -6 -2 2 6 10 14 18 22 y y -11 -3 5 1 -7 -15 -23 -31 -39 x y 3 7 11 15 19 23 27 31 35 a. a. a. b. b. b. c. c. c. 60 32 12 0 -4 0 12 32 60 3 -3 -5.49 -7.39 -9 -10.4 -11.7 -12.9 -14 7. For each of the tables below, fill in the missing values based on the pattern of the other values in the table. x -1 0 2 3 6 8 9 y 4 1 -5 -8 x 0 1 2 3 4 5 6 y 1 2 5 10 x -3 -1 0 4 5 8 13 y -11 -6 19 34 x 0 1 2 3 4 5 6 y -2 -1 1 5 8. A projectile is fired from a cannon and its path can be modeled by the equation h(t ) = −16t 2 + 96t + 200 where h represents the height of the object and t represents the time after it was launched. Its graph is provided to the right. a. What type of function is h(t)? b. What is the domain and range of the h(t)? c. What would be the domain and range considering the context described above? d. How high was the cannon from which the object was fired? e. How high is the object 3 seconds after being launched? f. How long does it take the object to hit the ground?

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