Unit
4 - Exponential and Logarithmic Functions
This chapter focuses on exponential and logarithmic functions and
their application to real life problems.
Graphing Calculator Skills needed
for this chapter.
Section 4.1 Exponential Functions and
their Graphs
This section
explores functions in the form of y = ax similar to the graph
on the left.
Highlights and Objectives :
Evaluate
exponential functions on the calculator.
The symbol ^ on the calculator is used for exponents.
3^4 = 34 = 81
Apply properties
of exponents to simplify exponential functions. 34 *35
= 39.
Identify
and evaluate functions with the natural exponential
function with base
e.
Graph
exponential functions and identify asymptotes.
Apply
exponential function to real life problems including
compound interest.
Click
on the LiveMath symbol to further explore exponential graphs
Section 4.2 Logarithmic
Functions
This section explores the inverse of the exponential
function, the logarithmic function, y = logax
Highlights and objectives
Understand the definition of Logarithms including
the natural log, ln
Evaluate
logarithmic expression.
Use the
properties of logarithms on Page 331 to evaluate and simplify logarithmic
expressions.
Find
the domain and range of logarithmic
functions.
Sketch the
graphs of logarithmic functions.
Click
on the LiveMath logo to explore logarithmic
graphs

Section 4.3 Properties of
Logarithms
This section explores the algebraic properties of logarithms which
are use in later math for simplification. The calculator is used very little,
if at all, in this section.
Highlights and Objectives:
Apply
the change of base
formula.
Rewrite the Logarithm of a Product and of a
Quotient.
Condense a logarithmic expression.
log( x + 2) + log ( 2x - 3)
= log[(x +
2)(2x-3)] |
Use the properties and definitions to evaluate logarithms
without a calculator.
Ex 74 page 346
|
log4 2 +
log432
log4(2*32) = log4(64)
4 to what power is 64?
answer is 3 |
Using
the special properties of Logarithms and exponential functions to simplify
and evaluate expressions
log (10b ) = b 10log c
= c
ln (eb ) = b
elnc = c |
|
Click
on the LiveMath logoto further explore logartihmc properties
online.
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