Precalculus I--Part 3--Test 1--With Answers

Precalculus Practice Exam

Part 3 Test 1 Time: 1 hour

Let .
- Sketch the graph of identifying any intercepts and asymptotes.
  
  Answer:
  
  The line y=3 is the horizontal asymptote. The y-intercept is , the only x-intercept is .
- Give the domain and range of .
  
  Answer: The domain of g(x) is all real numbers. The range of g(x) is y<3.
Solve for x algebraically:
- Answer: or
- Answer: x=2; Note that x=-8 is not in the domain of the equation!
Compress the expression

into one simplified logarithm.

Answer:

Give the domain of the original expression.

Answer: x>3
The radioactive element carbon-14 has a half-life of about 5,750 years. The percentage of carbon-14 present in the remains of animal bones can be used to determine age. How old is an animal bone that has lost 40% of its carbon-14?

Answer: 4257 years
Solve the system algebraically:

Answer: x=1, y=-1, z=2

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Tue Jun 17 21:33:49 MDT 1997