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King Fahd University of Petroleum and Minerals Faculty of Science – Per-Year Program Math 002- term 032 Sections: 4.2-4.3 Question1: For the following functions: a ) f ( x) 2 x 2 x b) g ( x ) e 1 c) h( x) 1 log1/ 4 ( x 2) d ) w( x) ln x 1) 2) 3) 4) 5) 6) 7) sketch the graph find , if any, the x intercept and the y intercept find the domain and the range determine , if any, the interval(s) of increasing determine , if any, the interval(s) of decreasing find the asymptote(s) find , if any, the inverse function Question2: a) Find the domain of the function f ( x) ln(1 x ) b) Find the range of the function f ( x) e x 2 2 c) Let f ( x) e ( x 1) . Find f (ln 2) f 1 (e) Question3: The graph of an exponential function y f (x) passes through the point (3, 1 ) , find the value of f ( 2) . 64 Question4: If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is N (t ) 100 2t / 3 . When will the population reach 6400?