Math 112    Test 4   6 points each   April 14, 2005


Tell if relationship   is a 1-1 function.  (means is inverse a function)

 

1.   a.   {(1,2), (3, -1), ( 8, 5)}

 

     b.   {(1,2), (2,4), 3,2), (4, 5)}

 

     c.   {(3,3), 2,2),( 4,4)}

 

 

2.  a.  y = x2 + 2

 

 

   b.   x3 + y = 1

 

 

Find f-1  for this  function.

 

3.

 

 

4.  Use synthetic division to find quotient and remainder for

 

(2x5 + 6x3 - 4x2 -5x + 7 ) Ö (x + 2)

 

 

5. Use long division to find quotient and  remainder for

(8y3 -4y2 -2y +1) Ö (2y + 1)

 

 

6.  Given P(x) = 3x4 + 18 x3 + x2 + 4x + 7, use synthetic division to find P(-6).

 

 

7.  solve for x:

 

 

Find x & y intercepts, vertical (VA) & horizontal asymptotes (HA) and sketch:

 

8.  y = (x-2)(x+4)2 (x+1)

 

 

9. 

10. 

 

 

11.  f(x) =  (3/4)x

 

 

 

12.  f(x) =  4 x

 

 

14.  f(x) = - 2-x

 

 

15.  f(x) = ex

 

16.   Find the equation whose graph is: