Calculus I 
Quiz #2

September 5, 2003

Name____________________ 
R. Hammack

Score ______

(1) Find the domain of the function
Notice that the denominator will be zero for x = 1.
Otherwise, the denominator is positive because it's squared.
So the only values of x that will make negative
are negative values of x.
Conclusion: The domain is all nonnegative numbers except 1.
i.e. Domain is and
.
(2) Consider the function
(a)
(b)
(c)
(because no matter the value of h, .
(3) Consider the function .
(a) For what value(s) of x is ?
Solve
x = 1 or x
= 5
(c) For what value(s) of x is
?
2 4
++
      + + +(x4)
   + + + + +(x2)
+ +    + + +f(x) = (x4)(x2)
f(x) will be negative for all values of x between 2 and 4.