Math 112   Test 3    5 pts each    March 17, 2005

 

Write in slope-intercept form and STATE the slope and y-intercept.

1. 2x + 3y -4 =0

 

 

Use the given slope and intercept to graph the line:

2.  slope = -2/3, y-intercept = -1

 

Graph the line using the given point and slope.

3.  Point = (-2, 4) , slope =undefined

 

Write the equation of the line with the given slope and intercept.

4.  slope = 0, y-intercept = -1

 

Write the equation of the line thru the given point with the given slope.

5.  Point = (-1, 3) , slope = 8

 

 

Find Domain & Range and tell whether or not the set represents a function

 

6.  {(1,2), (3,2), (-4, 1), (0,0)}

 

 

Which of the following equations represents a function?

7.  x2 + y2 = 8

 

 

8.  x2 - 3 = 4 y3

 

Find the Domain

 

9.  f(x) = 2

 

 

10. 

 

11. 


Function evaluation:  Find

f(2), f(a2), f(2b), f(2+b)

 

12.  1. f(x) = x2 - 4

 

13.  f(x) = 2

 

Graph parabolas and Find vertex, axis of symmetry, max or min value.

 

14.  f(x) = 3x2

 

15.  f(x) = -2 x2 + 5

 

16.   f(x) = 3(x+4)2 - 1

 

17.  f(x) = 3x2 + 30 x + 80

 

18.  f(x) = (x - 3)(x + 5)

 

Give the domain and range for each of the following.  Also state whether or not the graph represents a function.

 

19.

 

 

 

 

 

 

 

 

 

20.