reviewsheet1 - Math 116 FS 2010 Functions and Graphs...

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Math 116 FS 2010 Functions and Graphs (sections 1.1.-1.2) HO #1 Piecewise-defined function. Examples. a) ( 29 2 2 1 1 2 1 x x f x x x + ≤ - = - - b) c) 1 Definition. Functions whose definitions involve more than one rule are called piecewise-defined functions.
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Math 116 FS 2010 Functions and Graphs (sections 1.1.-1.2) HO #1 d) Question: Is the function defined at 1? x = Problem #1. Given ( 29 2 2 3 1 4 1 x x f x x x - ≤ - = - - Find : a) The domain D; b) ( 29 0 f ; c) ( 29 ( 29 2 2 f f - - . Problem #2. The graph of a piecewise defined function is shown on the right. Find according to this graph a) ( 29 0 f = b) ( 29 1 f = c) ( 29 ( 29 2 1 f f - - = 2
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Math 116 FS 2010 Functions and Graphs (sections 1.1.-1.2) HO #1 Summary about using closed dots, open dots, and arrows on the graphs. Example. Difference quotient , 0 f h h 3 Definition. ( ) ( ) f x h f x h + - , 0, h called difference quotient or average rate of change for the function ( 29 y f x = . 1. A closed dot indicate that the graph does not
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reviewsheet1 - Math 116 FS 2010 Functions and Graphs...

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