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Course: MATH 115, Fall 2008School: Maryland
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115 Math Exam 2 Sample 2 1. Suppose a(x) = x + 3 and suppose b(x) is an unknown function with b(3) = 5, b(1) = 6 and b(0) = 4. Find each of the following: (a) (a b)(1). (c) (a + b)(3) (b) (b a)(3) 2. Determine the average rate of change of h(x) = x2 3x between x = a and x = a+h. Simplify. 3. (a) Suppose a quadratic function has a parabolic graph with vertex (5, 3). The parabola also passes through the point...
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115 Math Exam 2 Sample 2 1. Suppose a(x) = x + 3 and suppose b(x) is an unknown function with b(3) = 5, b(1) = 6 and b(0) = 4. Find each of the following: (a) (a b)(1). (c) (a + b)(3)
(b) (b a)(3) 2. Determine the average rate of change of h(x) = x2 3x between x = a and x = a+h. Simplify. 3. (a) Suppose a quadratic function has a parabolic graph with vertex (5, 3). The parabola also passes through the point (2, 1). Find a function f (x) which satises this and then nd its y-intercept. (b) A 5-foot girl is standing x feet from a lamp post. The lamp post is 15 feet tall. a Find function L(x) which gives the length of her shadow as a function of x. If you use a picture to help, please redraw the picture on your answer sheet. 4. Given the function f (x) = 2 + x, apply each of the following functions in turn and give the result. (a) Shift left 3. (b) Shrink by a factor of 0.2. (c) Shift down by 7. 5. A fen...
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