• Use of Newton's Law of Cooling (formula will be provided)
• Understand what inverse relationship means
• Verify algebraically that two functions are inverses
• Graphical relationship between inverse functions
• One-to-one functions
• Determine whether a function is one-to-one graphically and/or algebraically
• Find the inverse of a function in any representation (equation, graph, table, words)
• Meaning of logarithm
• Inverse relationship between logs and exponentials
• Convert between log and exponential forms
• Evaluate simple logs
• Solve logarithmic and exponential equations
• Shape/basic features of logarithmic graphs
• Natural and common logs - meaning, notation, use on calculator
• Properties of logs
• Expanding/condensing log expressions using log properties
• Change of base formula
• Solving exponential equations of all types
• Solve log equations of all types
• Applications of exponential and logarithmic functions (compound interest, doubling time, etc)
• See workbook pages 175-178
  
• Sequence definition and notation
• Find the n^th term or a specific term of a sequence
• Finite/infinite sequences
• Using recursively-defined sequence formulas
• Graphs of sequences
• Summation (Sigma) notation
• Expanding sums
• Writing a sum in sigma notation
• Properties of sums
• Factorials
• Summation formulas
• Definition of arithmetic sequence/series
• Identify arithmetic sequences and series
• Common difference
• Find the n^th term or a specific term of an arithmetic sequence
• Use formulas for arithmetic sequences
• Use formulas for arithmetic series
• Graph arithmetic sequences; relationship to linear functions
• Definition of geometric sequence/series
• Identify geometric sequences and series
• Common ratio
• Find the n^th term or a specific term of a geometric sequence
• Use formulas for geometric sequences
• Use formulas for geometric series
• Graph geometric sequences; relationship to exponential functions

• Slope
• Equations of lines (3 different forms)
• Parallel and perpendicular lines
• Converting quadratics to standard form (completing the square)
• Finding the vertex/finding the minimum or maximum
• Given graph - write equation for parabola
• Behavior of polynomial graphs for extreme values of x
• Properties of polynomial graphs (number of turning points/ number of intercepts, etc)
• "Leading term property"
• Multiplicity
• Long division of polynomials
• Factor Theorem
• Equivalent statements about factors, zeros, solutions and intercepts
• Construction of a polynomial with given zeros
• Vertical, horizontal and slant asymptotes
• Zeros/intercepts
• Domain of rational functions
• Graphing rational functions (including non-reduced rational functions)
• Given a graph, write an equation for the rational function
• Shape/basic features of exponentials
• Compounded interest
• Don't need to know formulas for doubling time or half-life
• Do need to know what doubling time and half-life are
• Given a graph, write an equation in the form y=k b^x
• Shape/basic features of y = e^x
• Continuously compounded interest formula
• Use of Newton's Law of Cooling (formula will be provided)

• Definition of a function
• Domain
• Identifying functions
• Evaluating functions
• Finding the zeros of a function
• Identifying increasing/decreasing intervals
• Identifying negative/positive intervals
• Turning points
• Finding x and y-intercepts
• Basic graphs
• Odd/even/neither functions
• Graphing piecewise defined functions
• "Complete graphs" - on calculator
• Window notation
• Setting up equations to model situations
• Using models to answer questions
• Wording i.e. what does "_____ is a function of _____" mean?
• Transformations of graphs:
• translations (shifts)
  
• expansions/compressions
  
• reflections
  
• Use transformations on graphs, equations, tables and/or individual points
• Sum, difference, product, and quotient of functions
• Composition of functions
• Apply operations to all representations of functions (tables/graphs/equations)
• "Decomposition" of functions