Characteristics of Functions

• Demonstrate an understanding of functions, their representations, and their inverses, and make connections between the algebraic and graphical representations of functions using transformations
• Determine the zeros and the maximum or minimum of a quadratic function, and solve problems involving quadratic functions, including problems arising from real-world applications
• Demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical, and rational expressions

Exponential Functions

• Evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of exponential functions represented in a variety of ways
• Make connections between the numeric, graphical, and algebraic representations of exponential functions
• Identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications

Discrete Functions

• Demonstrate an understanding of recursive sequences, represent recursive sequences in a variety of ways, and make connections to Pascal’s triangle
• Demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series, and solve related problems
• Make connections between sequences, series, and financial applications, and solve problems involving compound interest and ordinary annuities

Trigonometric Functions

• Determine the values of the trigonometric ratios for angles less than 360º; prove simple trigonometric identities; and solve problems using the primary trigonometric ratios, the sine law, and the cosine law 
• Demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions 
• Identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including problems arising from real-world applications