Test 5 Topics
Chapter 8 and 9.1-9.5

Section 8.1 : Composition of Functions

• Find composition of 2 functions algebraically, graphically, numerically

• Interpreting composition of 2 functions

• Decomposing a function

Section 8.2: Inverse Functions

• Which functions have inverses that are also functions

• Notation, graphs, properties and finding formulas for inverse functions

• Using algebra to find the inverse of a function

• The relationship between the domain and range for a function and its inverse

Section 8.3: Combinations of Functions

• Creating and interpreting new functions by arithmetically combining given functions

Section 9.1: Power Functions

• Proportionality and power functions

• The general form of a power function

• The six basic types of power functions

Section 9.2 and 9.3: Polynomial Functions

• Standard terminology associated with polynomials

• The long-run behavior of polynomials

• Zeros of polynomials

• Factored form of a polynomial

• Multiple zeros

• Reconstructing a polynomial from its graph

Section 9.4 and 9.5: Rational Functions

• Graphs and formulas of rational functions

• Horizontal and vertical asymptotes

• Zeros of rational functions

• Factored form and holes