Download GPC sec11 Functions.notebook

GPC sec11 Functions.notebook
August 22, 2016
Set Notations
Two Types:
Section 1­1: Functions
1) Set Builder
2) Interval
Remember: Sets of Numbers
Real Numbers ­ Numbers that can be found on the number line.
Set Builder
Rational Numbers ­ a real number that can be expressed as a ratio (ie fraction).
Examples:
Irrational Numbers ­
a real number that can not be expressed as a ratio.
Examples:
Write each set of numbers using set builder notation.
Integers ­
the natural numbers, their opposites, and zero
All integers are rational numbers, but not all rational numbers are integers.
{2, 3, 4, 5, 6, 7} {x | 2 ≤ x ≤ 7, x ∈ ℕ}
Examples:
x > −17 {x | x > −17, x ∈ ℝ}
all multiples of seven Interval Notation
Uses [ or ] to indicate equal to
Uses ( or ) to indicate not equal to
Write each set of number using interval notation.
−2 ≤ x ≤ 12 x > −4 x < 3 or x ≥ 54 [−2, 12]
(−4, ∞)
(−∞, 3) ∪ [ 54, ∞)
3
{x | x = 7n, n ∈ ℤ}
GPC sec11 Functions.notebook
Homework:
Read section 1­1 and
Do pg. 9, #'s 2­5 all, 8, 10 & 13
This will be check at the beginning of the class period tomorrow.
August 22, 2016