Honors Pre Cal

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Polynomial, Power and Rational Functions

This unit is a continuation of unit 2 where we studied the basic characteristics of function families. This unit will focus on the in-depth study and theory of polynomial, power and rational function families which are closely related. We will see many real life uses of these three function families including social, behavioral and natural sciences. As the unit progresses you will begin to see the connection between the function families and extend them with inequalities.

Key Vocabulary

  • Polynomial Function of degree n
  • Leading Coefficient
  • Zero Function
  • Constant Function
  • Linear Function
  • Quadratic Functions
  • Average Rate of Change
  • Rate of Change
  • Constant Term
  • Initial Value of f
  • Linear Correlation
  • Correlation Coefficient r
  • Axis of symmetry
  • Vertex
  • Standard Quadratic Form
  • Vertex Form
  • Quadratic Formula
  • Vertical Velocity
  • Vertical Free-Fall Motion
  • Power Function
  • Power
  • Constant of Variation
  • Constant of Proportion
  • Monomial Function
  • Standard Form of a Polynomial
  • End Behavior
  • Limits
  • Multiplicity
  • Repeated Zero
  • Intermediate Value Theorem
  • Polynomial Interpolation
  • Dividend
  • Divisor
  • Quotient
  • Remainder
  • Remainder and Factor Theorems
  • Long Division
  • Synthetic Division
  • Rational Zeros
  • Fundamental Theorem of Algebra
  • Linear Factorization Theorem
  • Complex Conjugate Zeros
  • Rational Function
  • Asymptotes (Vertical, Horizontal and Slant)
  • Extraneous Solutions

Homework & Assessments

  • Sec 2.1, Pg 182 1-32, 34-36x2, 39-42, 44, 51, 52, 54-57
  • Sec 2.1, pg 184 #59 and #60 as a group activity
  • FACTORING HIGHER DEGREE POLYNOMIALS WORKSHEET
  • Factoring Quiz
  • Sec 2.3, pg 209 1-6, 9-12, 25-28, 33-38 SKETCH ALSO, 39-42
  • Sec. 2.3, pg 210 44, 46, 48, 49-52 ONLY ALGEBRAICALLY THEN SKETCH, 65-68
  • Sec. 2.3 Quiz
  • Sec. 2.4, pg 223 1-18
  • Sec. 2.4, pg 223 20, 24, 25, 26, 49, 50, 54, 57, 58
  • Sec. 2.5, pg 234 6-12x2, 13-20, 27, 29, 30, 32, 34-36, 45-48, 53-58
  • Worksheet over 2.5
  • Sec. 2.4-2.5 Quiz
  • Sec. 2.6, pg 245 2, 4, 8, 10, 20, 22, 24, 28, 30, 38-60x2, 65-68
  • Quiz 2.6
  • Sec. 2.7, pg 253 4, 8-16x2, 24, 27, 28, 30, 31, 32-42
  • Worksheet over 2.7
  • Quiz 2.7
  • Sec. 2.8, pg 264 1-16, 19, 20, 25-44
  • Sec. 2.8, pg 265 45, 46, 49-54, 58-60
  • Unit 3 Exam Review
  • Unit 3 Exam