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Exam1reviewAnswers - Math 112 Exam 1 Review Fall 2010 1....

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Unformatted text preview: Math 112 Exam 1 Review Fall 2010 1. Find the domain of the functions (a) g ( x ) = 3- x ( x +1) 2 Answer: (- ,- 1) (- 1 ,- 3] (b) log( x- 3- 4 /x ) Answer: (- 1 , 0) (4 , ) 2. The graph of y = F ( x ) is given. Sketch the graph of the following functions: y = F ( x ) 6- x y Q Q Q Q Q 1 1 (a) y = F ( x + 2)- 3 Answer: 6- x y Q Q Q Q Q 1 1 (b) y = F (1- x ) Answer: 6- x y S S S S S S P P P P P 1 1 3. Graph f ( x ) = log( x- 3) + 2. State the x- intercept and the asymptote. Answers: x- intercept: x = 3 . 01 Asymptote: x = 3 4. Evaluate exactly: (a) log 2 3 64 Answer: 2 (b) log 3 16 Answer: 4 log 2 / log 3 (c) 5 log 5 125 Answer: 125 (d) ln e 2- ln e 4 Answer:- 2 5. Sketch the function f ( x ) = 2 x +3 if- 4 x <- 2 x + 8 if x Then use your graph to answer the following questions: (a) is f one-to-one? Answer: No (b) f (- 2) = Answer: 2 (c) f (0) = Answer: 8 (d) f (2) = Answer: 4 (e) f (- 5) = Answer: Not defined 6. Solve each equation exactly: (a) log 3 ( x + 2)...
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Exam1reviewAnswers - Math 112 Exam 1 Review Fall 2010 1....

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