Part 1
 Test 1
 Time: 3 hours

 Find the equation of the line passing through the points
and . Write the answer in the
standard form of the line ax+by+c=0, where a, b, and c are
integers and a>0.
Answer: .
 Find the domain and the range of the function .
Answer: Domain: x<3, Range: .
 Find the inverse of the function on the
interval .
Answer: .
 Find the midpoint of the line between the points
and .
Answer: Midpoint: .
 Three gallons of a mixture is 60% water by volume. Determine the number of gallons of water that must be added to bring the mixture to 68% water?
Answer: 0.75 gallons need to be added.
 Factor the expression completely over the set of
rational numbers.
Answer: .
 Find the exact point(s) of intersection of the graphs
of
Answer: The two points of intersection are (4,6) and (1,1).
 Rewrite the fraction
as a simple fraction in reduced form.
Answer: .
 Find the exact distance between the two points
and .
Answer: distance: .
 What is the slope of a line:
 parallel to 7x6y+11=0 ?
Answer: .
 perpendicular to the line 7x6y+11=0 ?
Answer: .
 On what interval(s) is the function increasing?
Answer: interval: .
 Find the maximum value of the function .
Answer: The maximum value is 20.
 Solve the equation for x.
Answer: .
 If you shift the graph of so that it is superimposed on the graph of f(x5)+3, where will the shift take the point (1,3) on the graph of ?
Answer: new point: (6,0).
 If and , find Simplify your answer.
Answer: .
 Solve the equation
Answer: The set of solutions is empty. x=2 is not a solution!
 Which of the following is an even function?
 Which of the following is a onetoone function?
 Which of the following has an inverse without restricting the natural domain?
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Wed Jul 9 10:50:17 MDT 1997
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