Georgia Highlands College

   Graded Assignments (Subject to Change)

  •            Orientation Activity
    • Activity Sheet
    • Syllabus Quiz
    • Introduction discussion
  •            21 MyMath Lab (MML) Homework
  •             6 Quizzes
  •             6 Quizzes Discussions [more details]
  •             5 Apply the Concepts Mini-Project
  •             Semester  Exam (Proctored--on campus)


UNIT Information

Unit 1: Sections 1.1 - 1.3

Section 1.1: Graphs and Graphing Utilities

  • Plot points in the rectangular coordinate system.
  • Graph equations in the rectangular coordinate system.
  • Interpret information about a graphing utility’s viewing rectangle or table.
  •  Use a graph to determine intercepts. Interpret information from graphs.

Section 1.2: Basics of Functions and their Graphs

  • Find the domain and range of a relation.
  • Determine whether a relation is a function.
  • Determine if an equation represents a function.
  • Evaluate a function.
  • Graph functions by plotting points.
  • Use the vertical line test to identify functions.
  •  Obtain information from a graph.
  • Identify the domain and range from a graph.
  • Identify intercepts from a graph.

 Section 1.3: More on Functions and their Graphs

  • Understand and use piecewise functions.
  • Identify intervals on which a function increases, decreases, or is constant.
  • Use graphs to locate relative maxima or minima.
  • Identify even or odd functions and recognize the symmetries.
  •  Graph step functions. 
  • Find and simplify a function’s difference quotient. 

Learning Unit 2: Sections 1.4 - 1.6

Section 1.4: Linear Functions and Slope

  • Calculate a line's slope  
  •  Write the equation of a line in point-slope form, slope-intercept form, and general
  • form.  
  •  Graph using the slope-intercept form of a line or using intercepts.  
  • Graph vertical and horizontal lines.   Model data with linear functions and predict.

  Section 1.5: More on Slope

  • Find slopes and equations of parallel and perpendicular lines.
  • Interpret slope as a rate of change.
  •  Find a function's average rate of change.

 Section 1.6: Transformations of Functions

  •  Recognize graphs of common functions, 
  •  Use any and all of the following transformations to graph functions: Vertical Shift, 
  • Horizontal Shift, X axis Reflection, Y axis Reflection, Vertical stretching/shrinking,
  • Horizontal stretching/shrinking.  

Learning Unit 3: Sections 1.7 - 1.9 , P7

Section 1.7: Combinations of Functions; Composite Functions

  • To find the domain of functions algebraically
  • To add, subtract, multiply, and divide functions: f+g, f - g, fg, f/g
  • To find composite functions
  • To find the domain of combined and composite functions

Section 1.8: Inverse Functions

  • Verify that functions are inverses
  • Find the inverse of a function
  • Explore one-to-one functions
  • Use the Horizontal Line Test to see if a function has an inverse

Section 1.9: Distance and Midpoint; Circles

  • Find the distance between two points
  • Find the midpoint of a line segment
  • Write the equation of circle in standard form
  • Determine the radius and center of a circle whose equation is in standard form

Learning Unit 4: Sections 2.1 to 2.3 

Section 2.1: Complex Numbers

  • Add & subtract complex numbers
  • Multiply complex numbers
  • Divide complex numbers
  • Perform operations with square roots of negative numbers

Section 2.2: Quadratic Functions

  • Recognize characteristics of parabolas
  • Graph parabolas
  • Determine a quadratic function’s minimum or maximum value.
  • Solve problems involving a quadratic function’s minimum or maximum value.

Section 2.3: Polynomial Functions and Their Graphs

  • Identify polynomial functions
  • Recognize characteristics of polynomial functions
  • Determine end behavior
  • Using factoring to find zeros of polynomial functions
  • Identify zeros and their multiplicity
  • Use the Intermediate Value Theorem
  • Understand the relationship between degree and turning points.
  • Graph polynomial functions

Learning Unit 5: Sections 2.4 to 2.6

2.4 Dividing Polynomials; Remainder and Factor Theorems          

  • Using long division to divide polynomials
  • Using synthetic division to divide polynomials
  • Evaluate polynomials using the Remainder Theorem
  • Use the Factor Theorem to solve polynomials

2.5 Zeros of Polynomial Functions           

  • Use Rational Zero Theorem  to find possible zeros.
  • Find zeros of a polynomial function.
  • Solve polynomial equations.
  • Use the Linear Factorization Theorem to find polynomials, given the zeros.
  • Use Descartes’s Rule of Signs

2.6 Rational Functions & Their Graphs    

  • Find domain of rational functions.
  • Use arrow notation.
  • Identify vertical asymptotes.
  • Identify horizontal asymptotes.
  • Use transformations to graph rational functions.
  • Graph rational functions.
  • Identify slant (oblique) asymptotes.
  • Solve applied problems with rational functions.

Learning Unit 6: Sections 3.1 to 3.3

Section 3.1   Evaluate exponential functions.

  • Graph exponential functions.
  • Evaluate functions with base e.
  • Use compound interest formulas.    

Section 3.2    Change from logarithmic to exponential form.

  • Change from exponential to logarithmic form.
  • Evaluate logarithms.
  • Use basic logarithmic properties.
  • Graph logarithmic functions.
  • Find the domain of a logarithmic function.
  • Use common logarithms.
  • Use natural logarithms.

Section 3.3 Properties of Logarithms   

  • Use the product rule
  • Use the quotient rue
  • Use the power rule
  • Expanded logarithmic expressions
  • Condense logarithmic expressions
  • Use the change-of-base property

Learning Unit 7: Sections 3.4 to 3.5

Section 3.4    Use like bases to solve exponential equations.

  • Use logarithms to solve exponential equations
  • Use the definition of a logarithm to solve logarithmic equations
  • Use the one-to-one property of logarithms to solve logarithmic equations
  • Solve applied problems involving exponential and logarithmic equations

Section 3.5    Models of exponentai growth and decay

  • Use logistic growth model
  • Use Newton's Law of Cooling
  • Choose an appropriate model for data
  • Express an exponential model in base e


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