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Calculus I                                                                        Quiz #2                                     September 9, 2002

Name____________________                                R.  Hammack                                         Score ______
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(1) The graph of a function f is sketched.

[Graphics:Images/quiz2_gr_1.gif]


(a) Estimate the value of [Graphics:Images/quiz2_gr_2.gif]  [Graphics:Images/quiz2_gr_3.gif] f(-2) = 3

(b) For what values of x does [Graphics:Images/quiz2_gr_4.gif]?      -3, -1, 1, 2, 3

(c) Estimate the values of  x for which [Graphics:Images/quiz2_gr_5.gif]      -2 and -2.8



(2)  Consider the function [Graphics:Images/quiz2_gr_6.gif]

(a)  [Graphics:Images/quiz2_gr_7.gif][Graphics:Images/quiz2_gr_8.gif]

(b) [Graphics:Images/quiz2_gr_9.gif][Graphics:Images/quiz2_gr_10.gif]

(c)  What is the domain of f ?   All real numbers
(The only thing that could go wrong is if a negative was plugged into the square root, but that will never happen because x only gets plugged into the radical if x is greater than or equal to 3, hence not negative.)



(3) Find the domain of the function  [Graphics:Images/quiz2_gr_11.gif]
  [Graphics:Images/quiz2_gr_12.gif]
  The domain will be all values x for which [Graphics:Images/quiz2_gr_13.gif]
  
             -6                  2
  --------+-------------+-----------x
  - - - - - -|  - - - -  - - -  | + + + +(x-2)
  - - - - -| + + + + + + |  + + + + (x+6)
  + + +  | - - - - - - - - | + + + + (x-2)(x+6)
  
  DOMAIN: [Graphics:Images/quiz2_gr_14.gif]