Notes:
4/25 4/27

### 4/25

I. Sketch
1. y = (x + 3)2(x - 1)(x + 4)
2. y = (x2 + 4)(x - 1)
3. y = (x + 1)/x     Answers
4. y = x/(x + 1), never reviewed in class
II. Vocabulary:
As humans have solved new problems, equations, they have needed to create more numbers. Review briefly the sets of numbers. Start with the essay: Imaginary Numbers Are Not Imaginary. and through it review the sets of numbers.

COMPLEX NUMBER   -- solves all ax² + bx + c = 0
a + bi, where a is not 0, b is not 0, where i² = -1
a + bi, where a is 0, b is not 0, where i² = -1 -- These are pure
IMAGINARY
a + bi, where a is not 0, b is 0, where i² = -1 -- These are pure
REAL NUMBER -- solves x² - 4 = 0
IRRATIONAL -- solves x² = 3
RATIONAL -- solves 4x = 3, x² = 4
INTEGER -- solves x + 4 = 3
WHOLE NUMBER -- solves x + 4 = 4
NATURAL NUMBER
-- solves x + 4 = 6
IV. More vocabulary
end behavior

### 4/27

I. Vocabulary: polynomial
linear -- 1st degree equation, line
II. Polynomial & Rational Functions are dialations of
asymptote
end behavior
Two quizzes on Tuesday the 2nd: graphing ch 3, solving ch 3,
Test on the 4th on ch 3.