2014 Final Exam Topics Algebra II 234
UNIT 2: Polynomial Relationships
Understand the relationship between zeros and factors of polynomials
2.6 Know and apply the Remainder Theorem by choosing appropriate method(s)
2.6.a Factoring (2 and 3 terms) – GCF, Difference of Squares, Difference of Cubes, Trinomial Factoring
2.6.b Quadratic formula (including complex number solutions; using determinant)
2.6.c Solve by square rooting
2.6.d Completing the square
2.6.e Graphing calculator
2.6.f Synthetic division to find zeros including word problem solving
2.7 Compare properties of two quadratic functions each represented in a different way (algebraically, graphically, numerically
in tables or by verbal descriptions)
UNIT 3: Functions
Understand the concept of a function and use function notation
3.1 Domain and ranges of functions
3.2 Determine a function, i.e. Vertical Line Test, and utilize function notation by evaluating functions of all types.
3.2.a Vertical Line Test
3.2.b Evaluate with function notation
3.2.c Evaluate composition of functions including word problems
3.3 Identify types of functions and their characteristics including linear, polynomial (with degree), trigonometric, exponential,
logarithmic, piece-wise, absolute value, radical, and rational
3.4 Identify and graph functions using the key characteristics
3.4.a By Hand: Linear and quadratic: Slope(linear), x and y intercepts (quadratics- simple factoring and quadratic
formula), max/mins, vertex, axis of symmetry
3.4.b With GC: Square root, cube root, absolute value functions, rational (with asymptotes: domain and factoring
denominators), exponential and logs.
3.5 Understand and find relations, domain and range of a function, both with and without the graphing calculator.
Unit 4: Interpretation of Functions
Analyze functions using different representations
4.1 Find inverse functions
4.1.a Show graphically how inverses are related
4.1.b Write expressions for inverses by interchanging x and y’s
4.2 Evaluate logs, rewrite logs in exponential form and apply log properties
4.2.a Definition of a logarithm and conversion from logs to exponential form
4.2.b Understand inverse relationship between exponential and log functions
4.2.c Simplify log expressions
4.2.d Solve log equations for a variable
4.3 Rational Expressions and Complex Fractions
4.3.a Simplifying rational expressions (simplify, multiply, and divide)
4.3a Simplify complex fractions
4.3.b Solve rational equations