PRECALCULUS 640:111 EXAM 3 APRIL 2000

NAME:________________________ SEC:________ ID#_________________________

  

1. Find the inverse to f(x)

 

 

 

 

 

 

 

 

 

2. Find (f-1 o f )(3)

 

 

 

 

Use the data for the following questions:

X

0

2

4

Y

6

2.9

0

3. Plot the data on the graph.

 

 

 

 

 

 

 

4. On the same graph draw a line of least fit.

 

5. Find the equation for the line of least fit.

 

 

 

 

 

 

 

Use the function h(x) = 3x3 + 2x2 - 2x + 7 to answer the following questions:

6. What is the leading coefficient?

 

 

 

7. What is the end behavior?

 

 

8. What is the minimum number if real zeros? What is the maximum number of real zeros?

 

 

 

9. List all the LOCAL Maximums. Can there be more than one?

 

 

 

 

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10. Graph the polynomial: f(x) = (x - 4)(x + 7)(x + 2)

 

 

 

 

 

 

 

 

 

11. Find the remainder for

 

 

 

 

 

 

12. Find all the roots to y = x3 - x2 - 5x + 5

 

 

 

 

 

 

13. Solve for x: 6x2 -2x +5=0

 

 

 

 

14. Simplify in complex form:

 

 

 

 

 

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Given

15. Find the Horizontal Asymptote.

 

 

 

16. Find the Vertical Asymptote.

 

 

 

 

17. Find the x and y intercepts.

 

 

 

 

18. Find the graph

 

 

 

 

 

 

19. Given g(x) =

Is the function one to one? Does it have an inverse?

 

 

 

 

 

20. Graph (6x-5)/(3x+2)