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 , where a, b, and c are
integers and a>0.
- Find the domain and the range of the function .
- Find the inverse of the function on the
interval .
- Find the midpoint of the line between the points
and .
- 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 75% water?
- Factor the expression completely over the set of
rational numbers.
- Find the exact point(s) of intersection of the graphs
of
- Rewrite the fraction
as a simple fraction in reduced form.
- Find the exact distance between the two points and .
- What is the slope of a line:
- parallel to 7x-6y+11=0 ?
- perpendicular to
the line 7x-6y+11=0 ?
- On what interval(s) is the function increasing?
- Find the maximum value of the function .
- Solve the equation for x.
- If you shift the graph of so that it is superimposed on the graph of f(x-5)+3, where will the shift take the point (1,-3) on the graph of ?
- If and , find . Simplify your answer.
- Solve the equation
- Which of the following is an even function?
- Which of the following is a one-to-one function?
- Which of the following has an inverse without restricting the natural domain?
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Wed Jul 9 10:33:22 MDT 1997
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