Math 112 Test 4 5 pts each April 11, 2002

Write the equation for the line that has:

1. slope 2 and passes thru the point (-2, 5)

2. has zero slope and passes thru the point (5, -4).

3. Graph the line that has slope -2 and y intercept 3.

4. Graph the line that has slope -2 and passes thru the point (-1, 4).

Find the domain and range and state whether or not the relationship represents a function. :

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

6.

Which of the following represents a function?

7. x + 3y² = 4

8. y = x² - 4

Find the domain

9. y =

10. y = 5

11. y =

12. Sketch the function f that is constant on[-5, -2], increasing on [-2,2], decreasing on [2,5].

Graph, find axis of symmetry, vertex, and max or min value of the function.

13. f(x) = x² - 6x + 5

14. f(x) = -2x² - 8x +4

For f(x) = x², and g(x) = x² - x + 1, find

15. g - f

16. g ° (2f) = g(2f(x))

17. Sketch on this graph g(x+2) + 2

Sketch the graph of :

18.

19. f(x) = - (1/2) | x + 3 | + 1

20. h(x) = 3