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# 04spex2 - Math 114 Lecture 1 Exam 2 YOUR NAME CIRCLE YOUR...

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Unformatted text preview: Math 114, Lecture 1 Exam # 2 ' March 12, 2004 YOUR NAME: CIRCLE YOUR TA’s NAME: Mr. Ye Fang Ms. Shantala Mukherjee Do all eleven problems. Each problem or part is worth the indicated number of points. There are 100 points altogether. Do not spend too much time on any one problem. There are eight printed pages in this exam, including this cover page. Write neatly and show your work. Page Possible points Your score mm Page 2 12 M“ Page 3 22 Page 4 12 Page 5 20 Page 6 9 Page 7 1 1 Page 8 14 TOTAL 100 Problem 3 (8 points) Solve for a: the equation log(a:) = log(:c + 6) — log(:1: + 3) + log(2). 1 Problem 4 (6 points) Solve for y the equation 4”” = —. Problem 5 (8 points) Solve for :1: the equation 2" — 8 (2—3) = 7. Problem 8 (12 points) (a) (8 points) What are the domains of the two functions f = 3 6‘23” and g(:t) = log2(:c+2)? Write your answers in interval form. Domain of f(z) = Domain of g(:1:) = (b) (8 points) On the grid below, sketch the graphs of the two functions 2/ = f(w) = 36‘” and y = 9(3) =10g2(x + 2)- y (c) (4 points) Using information from the graphs in part (b), what can you say about the number of solutions to the equation 3 (3-2” = logz (a: + 2) ? (Do not try to solve the equation!) Problem 9 continued: (e) (3 points) Is there a horizontal asymptote for the graph y = f If so, What is it? (f) (8 points) Sketch the graph of y = f (z): ...
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