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Sample Midterm 2.1

Sample Midterm 2.1 - Math 148 Midterm 2 Autumn 2005 Page 1...

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Math 148 Name: Midterm 2 SSN: Autumn 2005 11/7/05 Lecturer: Page 1 of 7 Recitation Instructor: Form A Recitation Time: Please clearly show all of your work. Partial credit will be awarded based on the work that is shown. A correct answer with no supporting work will receive NO credit. Please, CIRCLE YOUR ANSWERS . If you use the graphing features on your calculator to solve a problem, you must SKETCH AND LABEL ALL GRAPHS AND TABLES . 1. (a) Solve the equation: log( x + 3) = 2 (7 points) (b) Without using logarithms, solve 4 x +9 = 8 x . (8 points)
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Page 2 of 7 2. Use the piecewise defined function f ( x ) = x 2 + 3 , if x 0 - 2 x + 1 , if x 2 to answer the following questions. (a) Find the Domain of f. (4 points) (b) Find f (0) , f (2), and f (3). (6 points) (c) Plot the points you found in (b) and sketch a graph of y = f ( x ) . (5 points) x y
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Page 3 of 7 3. (a) Solve the equation: 2 ln( x ) = ln(15 x + 34) (8 points) (b) Using my calculator, I found the solution to the equation 29 e - 4 x = 60 to be approximately x ≈ - 0 . 1817621831 . Write the exact solution to that equation.
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