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CHAPTER_ppt_8_2

CHAPTER_ppt_8_2 - Given that g x = x 2 – 2 x find g(– 3...

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§ 8.2 Reviewing Function Notation and Graphing Nonlinear Functions

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Martin-Gay, Beginning and Intermediate Algebra, 4ed 2 Letters such as f , g , and h are often used to name functions. The symbol f ( x ) means function of x and is read “ f of x .” This notation is called function notation . y = – 3 x + 2 can be written as f ( x ) = – 3 x + 2 Function Notation Note that f ( x ) is a special symbol used to denote a function. The symbol f ( x ) does NOT mean f · x ( f times x. ) .
Martin-Gay, Beginning and Intermediate Algebra, 4ed 3 When we want to evaluate a function at a particular value of x , we substitute the x -value into the notation. Evaluating Functions

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Unformatted text preview: Given that g ( x ) = x 2 – 2 x , find g (– 3). Then write down the corresponding ordered pair. g (– 3) = ( – 3 ) 2 – 2( – 3 ) = 9 – (– 6) = 15. The ordered pair is (– 3, 15). Example: Martin-Gay, Beginning and Intermediate Algebra, 4ed 4 Graph y = 2 x 2 . x y 1 2 – 1 2 2 8 – 2 8 Graphing Nonlinear Functions Example: x y (2, 8) (-2, 8) (1, 2) (-1, 2) (0, 0) Martin-Gay, Beginning and Intermediate Algebra, 4ed 5 Graph y = | x |. Graphing Nonlinear Functions Example: x y 1 1 – 1 1 2 – 2 2 2 x y (2, 2) (-2, 2) (1, 1) (-1, 1) (0, 0)...
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