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

quadratic -- 2nd degree equation

II. Polynomial & Rational Functions are dialations of

linear and quadratic functions.

    We reviewed rational functions through this page.

    Additional vocabulary:  

asymptote

end behavior

Two quizzes on Tuesday the 2nd: graphing ch 3, solving ch 3,

Test on the 4th on ch 3.

4/25/00 Answers

1.

2.

3.

http://www.mathnstuff.com/math/precalc/prec7.htm     Revised: 4/30/00