test 2 f05

test 2 f05 - MAT 194...

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Unformatted text preview: MAT 194 Name_____________________________________ Test #2 Nov. 4, 2005 Show all work! (1) [5 pts] Simplify the following expression, writing your answer in the form x r y s : x 3 y 5 x 2 y 2 3 x 4 5 (2) [5 pts] Let f ( x ) = x + 2 and g ( x ) = 3 x 2- 4 x . Find and simplify ( f o g )( x ) (3) [10 pts] Solve for t. Leave your answer in terms of logs! 15 e 4.8 t = 28 e 0.03 t (4) [3 pts] Simplify log(1000 x ) (5) [10 pts] Find a formula for parabola shown in this graph: QuickTime and a TIFF (Uncompressed) decompressor are needed to see this picture. (6) [10 pts] Graph f ( x ) = 2 x , g ( x ) = - 32 x and h ( x ) = 2 x + 3 on the same set of axes. Describe the relationships between the three graphs. (7) [10 pts] Complete the table below for g ( x ) = f ( x- 1) , h ( x ) = f ( x ) - 1 , and k ( x ) = f (2 x ) . (Note: it may not be possible to complete all entries.) x-2-1 1 2 3 4 f(x) 2 2 6 12 20 g(x) h(x) k(x) Explain how the graph of each of the functions, g(x), h(x) and k(x) , relates to the graph of f ( x ) . (8)...
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test 2 f05 - MAT 194...

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