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Calculus I Quiz #1 September
10, 2004
Name____________________ R. Hammack Score
______
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The problems on this quiz involve the functions
and .
(1) Find the value(s)
of x for which
.
The answers to this question are the solutions of the equation
Since this quadratic doesn't easily factor, we use the quadraitic formula.
Thus and
are
the two values of x for which f(x)
= g(x).
(2) Find the domain
of the function f.
Since we can't have a negaitve value inside the square root, we insist that
-2 2
----+--------+-----
- - -| + + + | + + + (2+x)
+ + | + + + | - - - - - (2-x)
- - - | + + + | - - - - - (2+x)(2-x)
Thus, you can see that the domain is the set
[-2, 2].
(3) Suppose
(a)
(b)