Test 4 Topics
Chapter 9 + 11
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
Section 9.6
Comparing the growth of power functions with exponential and log functions
Finding formulas for power and exponential functions
Section 9.7
Modeling data with exponential and power functions
Review Problems 9, 13, 15, 17, 19, 31, 33, 37
Section 11.1
Definition of a sequence
Arithmetic and geometric sequences
Section 11.2
Arithmetic series as models of growth
Summation notation
Section 11.3
Geometric series as models of growth
Section 11.4
Infinite geometric series
Present value
Summation notation
Review problems - 1, 3, 5, 7, 15, 19