1105G6f11 - 5. Use the formulas from problem 3 (previous...

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MAC1105 Names:___________________________ Group work 6 October 18, 2011 ____________________________________________________________________________________________ 1. Complete the table and draw graphs for functions f(x) 2x = and x g(x) 2 = . x -6 -4 -2 0 2 4 6 f(x) -12 -8 -4 0 4 8 12 x -12 -8 -4 0 4 8 12 g(x) -6 -4 -2 0 2 4 6 2. Complete the table and draw graphs for functions 2 f(x) 0.5x 1 = + = and g(x) 2(x 1) = - = - . x 0 1 2 3 4 f(x) x 1 1.5 3 5.5 9 g(x) 3. Complete the table and draw graphs for functions 3 f(x) 0.1x = and 3 g(x) 10x = . x -4 -3 -2 -1 0 1 2 3 4 f(x) x -6.4 -2.7 -.8 -.1 0 .1 .8 2.7 6.4 g(x)
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4. In each of the three pairs of functions, compare the inputs for f with the outputs for g , and also compare the outputs for f with the inputs for g . What is the relationship between these sets of numbers?
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Unformatted text preview: 5. Use the formulas from problem 3 (previous page) to compute formulas for the composites (g f )(x) r and (f g)(x) r . (g f )(x) r =__________ (f g)(x) r =___________ 6. Functions that undo one another are called inverses. On all three graphs, draw in the line y x = . What do you think is the general relationship between the graph of a function and the graph of its inverse? 7. Given the graphs of the following functions, draw in the graphs of the inverses. To accomplish this you might consider constructing a table of values for each graph and using your observations above to complete the graph of the inverse....
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1105G6f11 - 5. Use the formulas from problem 3 (previous...

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