1.  Give the domain, range, and zeros of each function.

        a. Domain:  x < -2,  x > 2
            Range:  y >  0
            Zeros:  x = -2, 2

        b. Domain:  -2 < x < 2
            Range:  y >  3/2
            Zeros:  none

        c. Domain:  Reals
            Range:  0 <  y  <  1/9
            Zeros:  none

2.  Graph g(x) and find the domain, range and zeros of g.

  Each tic mark is 1 unit.

        Domain:  Reals
        Range:  y <  1
        Zeros: x = -2,0

3.     a.  the x-axis   No
        b.  the y-axis   No
        c.  the origin    Yes
        d.  Is it even, odd, or neither?   Odd

4.   a.  | 3 f(2 - x) |                                                  b.  y = - f (. 5| x |) + 2

5.  Draw the cylinder.  Label the measurements.  Let h = depth of the water.  It empties at 4 ft ³/s so h is reduced by 4t.
        V = pr²h
        4 = 9ph
        4/(9p) = h
        So h is changing at 4/(9p)  ft/s

        h(t) = 15 - (4/(9p) ) t
 

6.     a. 
        b. 0 < x < 8
        c. 64(must use calculator)

7.
  Each tic mark is 1 unit.

8.
Each tic mark on the x-axis is 1 unit.
                                                Each tic mark on the y-axis is 10 units.

9.
Each tic mark is 1 unit.

10.   a.  29
        b.  undefined
        c.  4x + h
        d.      (Simplify, then multiply by 
                                                         

11.  x < -2, x < 1/2
 

Questions