Show all work for credit. Do all your work neatly on the paper provided. Write your name on each sheet you turn in. I will not grade any work done on the test sheet. When you are finished turn in all sheets including the test. Good Luck.

1. Solve the system.

   x-y = 0

   5x-3y = 10

2. Solve the system.

   y = 4x

   y = x²-5

3. Write an equation for each of the following lines:

   1. The line that passes through the points (1,2) and (-2,3).
   2. The line that passes through the point (3,-2) which is perpendicular to the line 3y-9x = 17.

4. Find the domain of f(x) = [1/( 3x+12)] and the domain of the function g(y) = [Ö(2-y)].

5. Sketch the graph of the following functions.

   (a)   f(x) = x²-4       (b)   g(x) = (x+3)³       (c)   h(x) = |x-4|

6. Using the three functions given above do the following:

   (a)   Find (f+g)(0)       (b)   Find g(f(x))       (c)   Give the intervals on which f is increasing.       (d)   Which functions are not one-to one? Explain why not.

7. Given the function f(x) = [(3x+5)/ 2]. Find the inverse, f^-1(x), and show
   f(f^-1(x)) = f(f^-1(x)) = x.

8. Given the following table for a function f with inverse, f^-1:

   x	1	2	3	4	5
   f(x)	2	4	3	5	1

   Find f^-1(3),f^-1(4) and f^-1(2).

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