6 Pages

# exam2

Course Number: MATH 130, Fall 2009

College/University: MO Southern

Word Count: 407

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Math 130 Exam 2 Spring 09 Work each problem on the additional paper provided, DO NOT work the problems on this page! Provide enough detail in your solutions so that it is possible to follow your thought process. (3 pts) Problem 1. Answer the following True or False. (a) The slope of a line is the average rate of change of the linear function. (b) If the slope of a linear function is (c) The zero of f (x) = 2x +...

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130 Exam Math 2 Spring 09 Work each problem on the additional paper provided, DO NOT work the problems on this page! Provide enough detail in your solutions so that it is possible to follow your thought process. (3 pts) Problem 1. Answer the following True or False. (a) The slope of a line is the average rate of change of the linear function. (b) If the slope of a linear function is (c) The zero of f (x) = 2x + 8 is 8. (4 pts) Problem 2. Answer the following for the functions f (x) = 4x + 1 and 8 7 6 5 4 3 2 1 0 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 0 1 2 3 2 , then if y increases by 3, x will increase by 2. 3 g(x) = -2x + 5. (a) Solve f (x) g(x) (6 pts) (b) Solve f (x) > 0. Problem 3. What are the real zeros of the quadratic function: g(x) = x 2 - 4x - 1 1 Math 130 Exam 2 4 3 2 1 0 -2 -1 -1 -2 -3 -4 -5 -6 -7 0 1 2 3 4 5 6 7 8 Spring 09 (6 pts) Problem 4. Find the points of intersections algebraically for the graphs, that is solve f (x) = g(x) for f (x) = x2 - x + 1 and 28 24 20 16 12 8 4 0 -8 -7 -6 -5 -4 -3 -2 -1 -4 -8 -12 -16 -20 0 1 2 3 4 5 6 7 8 g(x) = 2x2 - 3x - 14 (4 pts) Problem 5. A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The s distance (in feet) from the ground after t 2 Math 130 Exam 2 Spring 09 seconds is given by s(t) = 96 + 80t - 16t2 . (a) After how many seconds does the ball strike the ground? (b) After how many seconds will the ball pass the top of the building on its way down? 220 210 200 190 180 170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0 -10 0 -20 y = s(t) 1 2 3 4 5 6 7 8 9 10 (8 pts) Problem 6. Answer the following for the function f (x) = -x2 - 2x 2 1 0 -4 -3 -2 -1 0 1 2 3 4 -1 -2 -3 -4 3 Math 130 Exam 2 Spring 09 (a) Write the function in the form f (x) = a(x - h)2 + k. (b) Give a sequence of transformations (shifting, compressing, stretching, and reflecting) which describes how to obtain the graph of y = f (x) from the graph of y = x2 . Remember that the order of your sequence matters. (4 pts) Problem 7. Determine a quadratic function whose graph is given. 8 7 6 5 4 3 2 1 0 -3 -2 -1 -1 -2 -3 -4 0 1 2 3 4 5 (3 pts) Problem 8. Answer the following for the functions: f (x) = x2 - 1 and g(x) = 3x + 3. 4 Math 130 Exam 2 20 18 16 14 12 10 8 6 4 2 0 -4 -3 -2 -1 -2 -4 0 1 2 3 4 5 6 7 Spring 09 (a) Solve f (x) > g(x). (b) Solve f (x) 1. 5 Math 130 - Spring 2009 Exam 2 Lathrom Name: