Chapter Notes Sept 2

# Chapter Notes Sept 2 - Lauren Nitahara Calculus Notes...

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Lauren Nitahara Calculus Notes Domain and Range of a Function Ex. Find the domain of f(x) =  1   .        x-3 Domain: all allowable x’s to go into f(x) Certainly  x – 3   0 so x   3 Also x – 3   0 so x   3 Real Number Line: Interval Notation: (3,  ) Set Notation: x   3                           . Ex. Find the domain of g(x) =   x 2  + x – 2 So x 2  + x – 2   0 (x + 2)(x – 1)   0 x = -2 or x = 1     x + 2       -     +     +     x – 1        -     -      +    (x+2)(x-1)         +      -      + Domain: (- , -2]   [1,  ) Ex. Find the domain and range of f(x) =  if   -1 X+1  if  -1   x   1 -2x+4 if  x   2 0 if   2 Range:  all allowable numbers [0, 2) Domain: all real numbers (-

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## This note was uploaded on 04/29/2008 for the course MATH 130 taught by Professor Roche during the Fall '05 term at Hobart and William Smith Colleges.

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Chapter Notes Sept 2 - Lauren Nitahara Calculus Notes...

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