1.

Write an inequality to represent each interval.

 
 

a.    (-4,3]

b.    (2,¥)

 

c.    [-1,5]

 
 
 

In problems 2-6, solve the given inequality.
 
 

2.    -3x > 2

3.    6x-4 £ 2

 

4.    0 £ [(x+3)/ 2] < 5

5.    |2x| > 10

 

6.    |x-6| £ 7

 
 
 

7.

Three lines are indicated in the figure below. Determine which line has each of the following slopes: m = 3/5, m = -1, and m undefined.

8.

Find an equation for the line passing through the points (2,3) and (-1,-2).

 
 
 
 

9.

Find the slope and y-intercept of the line 2x+3y = 5.

 
 
 
 

10.

Find an equation for the line with slope m = 2 and passing through the point (1,3).

 
 
 
 

11.

Solve the following system of equations by substitution.

12.

If A = {1, 2, 3, 4, 5} and B = {a, b, c}, determine if each of the following relations represents a function from A to B. If your answer is ``no'', state the reason why.

 
 

a.

{ (2,b), (3,c), (4,a) }

 
 

b.

{ (1,c), (3,c), (2,a), (4,b) }

 
 

c.

{ (1,a), (2,c), (1,b), (3,c), (4,a) }

 
 
 
 

13.

Let f(x) = x²+x-1. Evaluate and simplify f(0), f(2), and f(t-1).

 
 
 
 

14.

Find the domain of each function.

  f(x) = [2x/( x+4)] g(x) = [Ö(x-2)] h(x) = 1+x²  
 
 
 
 

15.

Determine which of the following graphs represent functions of x.

16.

Use your graphing calculator to draw the graph of y = x³-3x²+2.

 
 

a.

Sketch the graph on your paper.

 
 

b.

Determine the intervals over which the graph is increasing and the intervals over which the graph is decreasing.

 
 
 
 

17.

The bold graph below represents y = x². Determine the equation needed to represent the other two graphs, which are translations of the bold graph.