___________________________________________________________________________________
Calculus I Quiz #2 September 9, 2002
Name____________________ R. Hammack Score ______
___________________________________________________________________________________
(1) The graph of a function f is sketched.
![[Graphics:Images/quiz2_gr_1.gif]](Images/quiz2_gr_1.gif)
(a) Estimate the value of
f(-2) = 3
(b) For what values of x does
? -3, -1, 1, 2, 3
(c) Estimate the values of x for which
-2 and -2.8
(2) Consider the function ![[Graphics:Images/quiz2_gr_6.gif]](Images/quiz2_gr_6.gif)
(a) ![[Graphics:Images/quiz2_gr_7.gif]](Images/quiz2_gr_7.gif)
![[Graphics:Images/quiz2_gr_8.gif]](Images/quiz2_gr_8.gif)
(b) ![[Graphics:Images/quiz2_gr_9.gif]](Images/quiz2_gr_9.gif)
![[Graphics:Images/quiz2_gr_10.gif]](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]](Images/quiz2_gr_11.gif)
![[Graphics:Images/quiz2_gr_12.gif]](Images/quiz2_gr_12.gif)
The domain will be all values x for which ![[Graphics:Images/quiz2_gr_13.gif]](Images/quiz2_gr_13.gif)
-6
2
--------+-------------+-----------x
- - - - - -| - - - - - - - | + +
+ +(x-2)
- - - - -| + + + + + + | + + + + (x+6)
+ + + | - - - - - - - - | + + + + (x-2)(x+6)
DOMAIN: ![[Graphics:Images/quiz2_gr_14.gif]](Images/quiz2_gr_14.gif)