Part 1 | Test 2 | Time: 3 hours |
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- Find the equation of the line passing through the points
(2,7) and (6,-5). 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 (2,7) and (5,-5).
- Five 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 (5,7) and (7,-5).
- What is the slope of a line:
- parallel to 7
*x*-21*y*+11=0 ? - perpendicular to
the line 7
*x*-21*y*+11=0 ?

- parallel to 7
- 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
- If (2,7) is a point on the graph of an even function, name one
other point on the graph. If (3,-8) is a point on the graph of an odd
function, name one other point on the graph.
- How can you tell from a graph of a function whether the function
is one-to-one?
- Why can't you find the inverse of without restricting the domain?

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