Spring 2009 Math 127 Exam 5
Section 8.4: Composite and Inverse Functions
o Definition and notation of function composition
o Computing composite functions
o Definition of the inverse of a function and
finding the inverse of a function
o Horizontal line test, one to one function and
graphing the inverse of a function
Sections 12.1: Exponential Functions
o Definition, Domain, and Range
o Evaluating and graphing exponential functions
o Base e exponential functions
o Discrete and continuous compound interest
formulas
Section 12.2: Logarithmic Functions
o Definition, Domain, and Range
o Evaluating and graphing logarithmic functions
o Common and Natural Logarithms
o Basic properties of logarithms
Section 12.3: Properties of Logarithms
o Arithmetic properties of logarithms
o The change of base formula and computing
logarithms on a calculator
o Expanding and condensing logarithmic
expressions
Section 12.4: Exponential and Logarithmic Equations
o Solving Exponential equations with same base or
different bases
o Solving Logarithmic equations with the same
base
o Application problems
Section 12.5: Exponential Growth and Decay
o Setting up an exponential growth or decay model
of the form on page 871
o Analyzing a given growth or decay model.
