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Connally, Functions Modeling Change, 5e
PRECALCULUS (MATH 117/118)
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Assignment
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ORION
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ORION: Personalized Practice
Class Section:
Spring 19 - Math 117 009
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Chapter 1. Linear Functions and Change
Chapter 2. Functions
Chapter 3. Quadratic Functions
Chapter 4. Exponential Functions
Chapter 5. Logarithmic Functions
Chapter 6. Transformations of Functions and Their Graphs
Chapter 7. Trigonometry and Periodic Functions
Chapter 8. Triangle Trigonometry and Polar Coordinates
Chapter 9. Trigonometric Identities, Models, and Complex Numbers
Chapter 10. Compositions, Inverses, and Combinations of Functions
Chapter 11. Polynomial and Rational Functions
Chapter 12. Vectors and Matrices
Chapter 13. Sequences and Series
Chapter 14. Parametric Equations and Conic Sections
Proficiency Exams
Appendices
Select a Section
11.1 Power Functions and Proportionality
11.2 Polynomial Functions
11.3 The Short-Run Behavior of Polynomials
11.4 Rational Functions
11.5 The Short-Run Behavior of Rational Functions
11.6 Comparing Power, Exponential, and Log Functions
11.7 Fitting Exponentials and Polynomials to Data
Select a Study Objective
LO 11.1.0 Demonstrate an understanding of the properties of power functions, their graphs and how they relate to each other, and be able to determine a formula for a power function.
LO 11.1.1 Understand what it means for a quantity to be proportional or indirectly proportional to another quantity and analyze models defined by a proportionality relationship.
LO 11.1.2 Demonstrate an understanding of the characteristics, behaviors, formulas and graphs of power functions.
LO 11.1.3 Write the formula for a power function.
LO 11.2.0 Recognize a polynomial, exhibit familiarity with standard polynomial terminology and demonstrate an understanding of the characteristics of polynomials and their graphs.
LO 11.2.1 Recognize a polynomial and articulate and interpret the standard polynomial terminology such as degree and leading term.
LO 11.2.2 Demonstrate an understanding of the characteristics of polynomials such as long run behavior, zeros, maximum and minimum values and their impacts on the graph of a polynomial.
LO 11.3.0 Given a polynomial, find its zeros and use them to analyze the short term behavior of a polynomial, and given the zeros of a polynomial, recover a possible formula.
LO 11.3.1 Find the zeroes and their multiplicities of a given polynomial and/or use zeros to analyze the short term behavior of a polynomial.
LO 11.3.2 Find a possible formula for a polynomial whose zeros together with some other defining characteristic are given.
LO 11.4.0 Recognize a rational function, analyze its long run behavior and demonstrate competency in analyzing models defined by rational functions.
LO 11.4.1 Recognize a rational function and analyze its long run behavior and, when relevant, its horizontal asymptote.
LO 11.4.2 Analyze models involving rational functions.
LO 11.5.0 Given a rational function, analyze and interpret its short term behavior using zeros and asymptotes, and recover the formula for a rational function given certain characteristics it exhibits.
LO 11.5.1 Find the zeros and vertical asymptotes of a rational function and/or use them to analyze the short-run behavior of a rational function and their impact on its graph.
LO 11.5.2 Find a possible formula for a rational function whose graph or characteristics is given.
LO 11.6.0 Compare power functions with themselves, exponential functions and logarithmic functions and compare their growth rates.
LO 11.6.1 Compare power functions and their growth.
LO 11.6.2 Compare exponential and power functions and their growth.
LO 11.6.3 Compare logarithmic functions and power functions and their growth.
LO 11.7.0 Given numerical data, fit an exponential function or a polynomial to the data and determine which model would be a better fit.
LO 11.7.1 Fit an exponential function to numerical data.
LO 11.7.2 Fit a polynomial, including a linear function, to numerical data.
LO 11.7.3 Determine whether an exponential or polynomial function best fits numerical data.
LO 11.S.0 Be proficient at rewriting expressions involving algebraic fractions.
LO 11.S.1 Demonstrate an understanding of combining algebraic fractions.
LO 11.S.2 Rewrite algebraic fractions in simplified forms.
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