PRE CALCULUS 3Unit Created by ALL THINGS ALGEBRA Thank you SO MUCH for purchasing this product I hope you found this resource useful in your classroom Please consider leaving feedback in my TpT store or email me at allthingsalgebra gmail com with any questions or comments You can also find me here TERMS OF USE 2012 2018 Gina Wilson All Things Algebra LICENSING TERMS By purchasing this product the purchaser receives a limited individual license to reproduce the product for use within their classroom This license is not intended for use by organizations or multiple users including but not limited to school districts schools or multiple teachers within a grade level This license is non transferable meaning it can not be transferred from one teacher to another If other teachers in your department would like to use this product additional licenses can be purchased from my TpT store If your school or district is interested in purchasing transferable licenses to accommodate staff changes they may contact me at allthingsalgebra gmail com for a quote COPYRIGHT TERMS No part of this resource may be uploaded to the internet in any form including classroom personal websites or network drives unless the site is password protected and can only be accessed by students Thank you for respecting my work Unit 3 Polynomial Rational Functions Sample Unit Outline TOPIC HOMEWORK DAY 5 Zeros of Polynomials Linear Factors and Multiplicity HW 4 DAY 1 Graphing Power Functions DAY 2 Graphing Power Functions with Rational Exponents Radical Functions DAY 3 Graphing Polynomial Functions DAY 4 Quiz 3 1 DAY 6 Dividing Polynomials DAY 7 Remainder and Factor Theorems DAY 8 Quiz 3 2 DAY 9 Rational Zero Theorem Find Rational Zeros DAY 10 Irrational Zeros Descartes Rule of Signs DAY 11 Complex Zeros Fundamental Theorem of Algebra DAY 12 Using Zeros to Write Polynomial Functions DAY 13 Quiz 3 3 DAY 14 Graphing Rational Functions DAY 15 Rational Functions with Slant Asymptotes DAY 16 Quiz 3 4 DAY 17 Nonlinear Inequalities Polynomial Inequalities DAY 18 Nonlinear Inequalities Rational Inequalities DAY 19 Unit 3 Review DAY 20 UNIT 3 TEST HW 1 HW 2 HW 3 None HW 5 HW 6 None HW 7 HW 8 HW 9 HW 10 None HW 11 HW 12 None HW 13 Study For Test None Gina Wilson All Things Algebra LLC 2017 Name Topic Main Ideas Questions Notes Examples Date Class POWER FUNCTIONS Any function of the form A power function is also a type of monomial function Draw a sketch of each of the following monomial functions Constant Linear Quadratic MONOMIAL FUNCTIONS Cubic Quartic Quintic If the function has an EVEN power then If the function has an ODD power then SYMMETRY end behavior Ex f x x 2 End Behavior EVEN power POSITIVE coefficient EVEN power NEGATIVE coefficient Ex f x x 2 End Behavior ODD power POSITIVE coefficient ODD power NEGATIVE coefficient Ex f x x 3 End Behavior Ex f x x 3 End Behavior Gina W ilson All Things Algebra LLC 2017 Directions Graph each function and identify its key characteristics 1 f x 63 x GRAPHING POWER FUNCTIONS 2 f x 52 x 3 f x 41 x 2 Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Gina W ilson All Things Algebra LLC 2017 Name Topic Main Ideas Questions Notes Examples Date Class Recall that f x x 1 Power Functions with NEGATIVE EXPONENTS This is called a Power functions with negative exponents are undefined when x 0 therefore they contain discontinuities Directions Graph each function and identify its key characteristics EXAMPLES 1 f x 24 x 2 f x 5 x Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Gina Wilson All Things Algebra LLC 2017 3 f x 33 x 2 4 f x 42 x 5 f x 61 x 4 Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Gina Wilson All Things Algebra LLC 2017 Name Date Per Unit 3 Power Polynomials and Rational Functions Homework 1 Power Functions This is a 2 page document Directions Graph each function and identify its key characteristics 1 f x x 4 2 f x x6 1 3 3 f x 54 x Range y int Range y int Range y int Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Gina W ilson All Things Algebra LLC 2017 4 f x 45 x 2 5 f x 23 x 6 f x 53 x 4 Range y int Range y int Range y int Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Gina W ilson All Things Algebra LLC 2017 Name Topic Main Ideas Questions Notes Examples Date Class Power functions with rational exponents represent radical functions Power Functions with RATIONAL EXPONENTS Exponential Form Radical Form When n is the domain is restricted to positive values Directions Graph each function and identify its key characteristics EXAMPLES in Exponential Form 1 f x x 1 4 2 f x 1 51 x 2 Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Gina Wilson All Things Algebra LLC 2017 3 f x 5 23 x 4 f x 3 2 x EXAMPLES in Radical Form Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain Range x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior x int y int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior 5 f x 27 x 3 Domain Range Gina Wilson All Things Algebra LLC 2017 Name Date Per Unit 3 Power Polynomials and Rational Functions Homework 2 Power Functions with Rational Exponents Directions Graph each function and