Precalculus I--Part 1--Test-Out Exam 2

Precalculus Test Out Practice Exam

Part 1 Test 2 Time: 3 hours

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 7x-21y+11=0 ?
- perpendicular to the line 7x-21y+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
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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Wed Jul 9 11:27:03 MDT 1997