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Class_Notes_2.4

Class_Notes_2.4 - • Reciprocal function • Absolute...

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Section 2.4 Class Notes Library of Functions; Piecewise-defined Functions Guiding Problem 1 (1) On the same set of axes, draw each of the following functions. ( ) f x x = 2 ( ) g x x = ( ) 2 h x x = - (2) What is the intersection point of f and g ? (3) What is the intersection point of f and h ? (4) On a new set of axes, graph the function 2 0 ( ) 0 4 2 4 x if x p x x if x x if x x x x x = < < - Building a Library of Functions Memorize the names, the formulas, the graphs, basic properties, and key ordered pairs on each of the following functions. You should be able to recognize each of the following functions, given any one of the above forms of information about the function. Constant function Identity function Square function Cube function Square Root function Cube Root function

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Unformatted text preview: • Reciprocal function • Absolute Value function • Greatest Integer function Throughout the semester, we will add to the library of functions. We will create new functions that are based on these basic functions. It would be wise to create a separate section in your Math 19 binder where you keep an encyclopedia of functions. Put one function on each page. List everything you know about that function. Extra Practice Sketch the graph of each function. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 3 3 1 if 2 1 if 2 2 if 2 if if 1 1 if 1 x x x x a f x b f x x x x x x x x x c f x d f x x x x x x x <-= =-< < = = = & & & & Answers to Extra Practice (a) (b) (c) (d)...
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Class_Notes_2.4 - • Reciprocal function • Absolute...

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