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The solutions to practice exam ii for college algebra (math 101) at harford community college, taught by instructor s. Rook, during spring 2009. The solutions cover topics in chapters 3-4, 5.1, and 6.1, including long division, synthetic division, rational zeros theorem, rational functions, vertical and horizontal asymptotes, and logarithmic and exponential equations.
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Harford Community College Name: KEY
STEM Division Date_____________________
Spring 2009 Instructor: S. Rook
MATH 101 – College Algebra: Practice Exam II Detailed Key, Chapters 3 – 4, 5.1, 6.
3 2 x + x − x −
3 2 P x = − x + x + x − - make a conclusion based on the result :
4 3 2 = − − +
Use the rational function 3 13 12
2
2
x x
x R x for 4) – 8) to find:
- ( x ) (the inverse) of ( ) 32 1
5 f x = x − AND algebraically verify that f( x ) and f
- ( x )
are inverses :
x x
− −
13
a) a
9 = w b) 12 = 144
x
log (^) a w = 9 log 12144 = x
quarterly – round to the nearest hundred dollars :
nt
n
r A P
(-1, -3).
2 =−
x y
y x