1. Domain and Range

2. Types of Numbers Irrational, Q (nonterminating, nonrepeating decimals)
Real, R
Rational, Q (fractions, terminating or repeating decimals)
Irrational, Q (nonterminating, nonrepeating decimals)
Complex, C
Imaginary
Integers, Z (-2,-1,0,1,2)
Whole, W (0,1,2,3,4)
Natural, N (1,2,3,4)

3. Inequalities Inequalities can be represented: in words
< less than
< less than or equal to
> greater than
> greater than or equal to
Inequalities can be represented:
in words
on a number line
as a list of numbers
in set notation

4. “x is any real number greater than -3”
Words
List of Numbers
“x is any real number greater than -3”
-3…-2…
Number Line
Set Notation
{x  R I x > 3}

5. “x is any real number less than or equal to -3 or greater than 4”
Words
List of Numbers
N/A
“x is any real number less than or equal to -3 or greater than 4”
Number Line
Set Notation
{x  R I x < -3 or x >4}

6. “x is any real number between -2 and 5 inclusive”
Words
List of Numbers
-2…5
“x is any real number between -2 and 5 inclusive”
Number Line
Set Notation
{x  R I -2 < x < 5}

7. “x is any integer between -5 and 0 inclusive”
Words
List of Numbers
-5,-4,-3,-2,-1,0
“x is any integer between -5 and 0 inclusive”
Number Line
Set Notation
{x  Z I -5 < x < 0}

8. Homework
Inequality Worksheet

9. Domain Is this a function? What are the possible x-values?
We call this the function’s domain.
In set notation:
{xR I -4 ≤ x ≤ 5}
{x I -4 ≤ x ≤ 5, xR}
Domain: All possible values of the independent variable.

10. Range Is this a function? What are the possible y-values?
We call this the function’s range.
In set notation:
{yR I -2 ≤ y ≤ 4}
{y I -2 ≤ y ≤ 4, yR}
Range: All possible values of the dependent variable.

11. Homework
Worksheet
P. 63 #1, 4, 5, 12 & Challenge: 8, 9

12. Warm Up

13. Restrictions