Exercises-Review_Part_I - MA100, Fall 2010, PART 1:...

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Unformatted text preview: MA100, Fall 2010, PART 1: Precalculus Review Exercises [1] Find the equation of the line through (1 , 4) and slope- 3 . [2] Determine the domain of the functions: a) f ( x ) = x + 5 5- 2 x + 1 x b) f ( x ) = ln(2 x- 7) c) f ( x ) = 6 1- 5 x [3] Solve | x- 2 | 5 . [4] Solve 3 2 x- 7 = 5 . [5] Solve 3 2 x- 7 = 5 x +1 . [6] The number of bacteria in an experiment is modeled by the function N ( t ) = N e- 2 t , where t is the time (in hours). a) Show that N (0) = N . What does N represent? (with respect to the experiment) b) Is the number of bacteria increasing or decreasing in time? c) If N = 10000 , what is number of bacteria after 2 hours? [7] Solve 2 x 2- x- 2 . [8] Consider f ( x ) = x x + 2 . a) What is the domain of f ? b) Calculate f- 1 . c) What is domain of f- 1 ? [9] Consider f : R R , f ( x ) = x + 1 if x 1 3 x- 1 if x > 1 a) Calculate f (0) , f (1) and f (2) . b) Solve f ( x ) = 2 . [10] a) What are the values of sin 3 , sin 2 3 , arccos 1 and arccos 2 2 ?...
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This note was uploaded on 10/14/2011 for the course MATH 100 taught by Professor A during the Fall '10 term at Wilfred Laurier University .

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Exercises-Review_Part_I - MA100, Fall 2010, PART 1:...

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