Sample test!!
  
1)  Give the domain, range and zeros of the following graph:
 
2)  Give the domain, range and zeros of the function:  f(x) = 5x/(3x - 2)
 
3)  Sketch the graph and use the graph to find the range and zeros of the function:    f(x) = x3 + 4x2 - x - 4
 
4)  Let f(x) = 4x, g(x) = x2, h(x) = x + 5 and j(x) = 2x.  Find each.
 
             a) (f + h)(x)
             b)  (j - f)(x)
             c)  f(g(h(x)))
             d)  g(h(j(x)))
             e)  (f/g)(x)
             f)  g(f(h(2)))
 
5)  Sketch the graphs of y = x2 -4, y = 4 - x2 and y = |4 - x2| on the same axes.
 
6)  Test each equation for all 4 symmetries.
 
                 a)  x2 - xy = 3
                 b)  x2 - y2 = 1
                 c)  y = -|x|
 
7)  Use symmetry to sketch the graph of    xy2 = 2
 
8)  Sketch each of the following by using stretching/shrinking and/or translation.
 
                 a)  y - 5 = 2|x - 1|
                 b)  y + 3 = -(x + 1)2
 
9)  Prove that f(x) = (x+1)/2 and g(x) = 2x - 1 are inverse functions.
 
10)  Sketch the graph of f and f -1.  Then find a rule for the inverse.
f(x) = x2 - 2, x < 0
 
11)  a)  Let P(x, y) = 2x + 2y.  Let y be constant at y = 2, y = 3, y = 4.  Graph these functions.
        b)  Now let  P be constant at P = 10, P = 12 and P = 14.  Graph these functions.
 
12)  The area of a triangle is a function of the base b and height h.
             a)  Express A as a function of b and h.
             b)  Find A(2,3) and A(5,6)
             c)  Draw the curve of constant area A(b, h) = 5 in a bh-plane.
 
13)  let f(x) be the following graph: 
                 a)  What is the fundamental period for the above graph?
                 b)  What is f(1)?     f(2)?     f(3)?    f(4)?
                 c)  What is f(99)?    f(13)?       f(-2)?      f(-11)?
                 d)  Graph 2f(x)
                 e)  Graph f(2x)
                 f)  Graph  -f(x)
                 g)  Graph f(-x)

 
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