Chapter 6
Exponential Functions, Expressions,
and Equations
6.1
Exponential Functions
In past sections, weve dealt with exponential functions, but weve called them power functions. Essential
theyre th
Chapter 7
Logarithms
7.3
Applications of Logarithms to Modeling
In the past section, we learned how to solve exponential equations using logarithms. Exponential equations often show up when we ask que
Chapter 7
Logarithms
7.4
Natural Logarithms and Logarithms of Other Bases
Definition 1. Logarithmic Function, Base e
The Log function, base e is what is called the Natural Logarithm. Its written as th
Chapter 6
Exponential Functions, Expressions,
and Equations
6.6
Exponential Functions and Base e.
Leonhard Euler used the letter e to denote an important constant back in the days. Funny thing, that
l
Chapter 7
Logarithms
7.1
Introduction to Logarithms
Definition 1. How do you read a logarithm?
Say for example, we have
log2 x
We read this as log base 2 of x. Then to solve this, we ask ourselves 2 r
Chapter 9
Rational Polynomials
9.1
Rational Functions
Fractional Polynomials are a fancy word for Rational Polynomials or Rational Functions. So what does
Rational mean? Rational just means the quotie
Chapter 7
Logarithms
7.2
Solving Equations using Logarithms
In this section, youll learn how to convert from logarithms of products, powers, and quotients to
expressions in terms of individual logarit
1. Evaluate a function: 4.1
#12, 13, 15, 16, 18
2. Explain what is meant by a function evaluation: 4.1 # 32 (a), (b), (c)
3. Determine whether functions are equivalent: 4.2 #5, 6, 7, 23
4. Solve for a
Date :
b) 12x3y5 - 18X4y2 + 32x5y7 a.
mew ~v lx +1LM"-{
(11.3% + 8X§E25x 50)
4x {Nifg
@ +
3) Determine if the following is a polynomial. If it is then, classify it
PRACTICE TEST for TEST 4
MATH 105 Fall, 2012
1.
Suppose the function ( )
describes the height of a ball thrown from
the roof of an office building as a function of the time, t, in seconds, the ball ha