Special senses
1. General characteristics
- All located in the head via CNs
- 5 special senses
2. Senses
a. Olfaction
2
Location: Olfactory mucosa (5cm )
- 5 special senses
2. Senses
a. Olfaction
2
Location: Olfactory mucosa (5cm )
Stimulant: Odorants
Ner

Sec. 3.2 Quadratic Functions, and Graphs
A quadratic function is a polynomial function of degree two.
Therefore, there will be an x 2 term. The graph of a quadratic function can be found from
the squaring function, i.e. f ( x) = x 2 . It will be a parabol

Sec. 3.3 Quadratic equations, Functions, and Models
A quadratic equation is one equivalent to the form ax 2 + bx + c = 0 , where a, b, and c are
real numbers, and a 0.
The techniques used to solve quadratic equations are :
(1) factoring and using the zero

Sec. 3.4 Further Applications of Quadratic Functions and Models
Do Examples 1 and 2 P. 208-210.
Ex. The sum of the base and the height of a triangle is 20 cm. Find the dimensions for
which the area is a maximum.
Ex. A piece of metal is 12 inches wide. How

Sec. 3.5 Higher Degree Polynomial Functions and Graphs
In the first chapter we discussed linear functions, f ( x ) = mx + b , and earlier in chapter
3, we discussed quadratic functions, f ( x) = ax 2 + bx + c .
Now we are going to consider polynomial func

Sec. 3.7 Topics in the Theory of Polynomial Functions (II)
In section 3.7, we continue with information that will help us find the zeros of a
polynomial function. Remember the real zeros are the x-intercepts of the graph.
The Conjugate Zeros Theorem says

Section 4.1 - Rational Functions and Graphs
Rational functions = ?
Recall that a rational number is a number that can be written as the ratio of two integers.
A rational expression was the ratio of two polynomials. For ex.
x 2 3x + 5
.
x+4
So it makes sen

Section 4.2 - More on Graphs of Rational Functions
There are three situations for horizontal asymptotes (H.A.):
(1) deg. of num. = deg. of denom. H.A. : y = ratio of leading coefficients
(2) deg. of num. < deg. of denom. H.A. : y = 0 , the x-axis
(3) deg.

Sec. 5.1 Inverse Functions
The word inverse also has a similar meaning to the word reverse. Reverse can mean
to do the opposite. To go somewhere in your car you follow a certain path. To return
back home you can just follow the path backwards or in the op

Sec. 5.2 Exponential Functions and Graphs
Up to this point, we have mainly concentrated on polynomial functions.
Examples of polynomial functions are : constant functions (f(x) = 4), linear
functions (f(x) = 3x -2), quadratic functions (f(x) = 3x 2 2 x +

Sec. 5.3 Logarithms and Their Properties
First, lets do a little preliminary investigation! In the last section we used
nt
r
the exponential formula : A = P 1 + Now in this formula, there are 5
n
variables. Right? A, P, r, n, and t. Now if we are given a

Sec. 5.4 Logarithmic Functions and Graphs
Since the logarithmic function is the inverse of the exponential function, its
graph should be a reflection of the exponential function over the identity
function. Lets see using f ( x) = 10 x (red) and f ( x) = l

Sec. 3.1 Complex Numbers
This section is covered mainly as review . You should already have learned about
complex numbers and how to use them in calculations and in simplifying expressions.
A complex number is so named because it is complex, that is, a di

Sec. 2.6 Operations and Composition
We can combine functions using the operations of addition, subtraction, multiplication,
and division.
Addition of functions : ( f + g )( x) = f ( x ) + g ( x )
Subtraction of functions : ( f g )( x) = f ( x ) g ( x)
Mul

Sec. 5.6 Applications and Models : Growth and Decay
We mentioned that the base e is used frequently in exponential, and
therefore logarithmic, equations involving science and business.
Earlier we saw how interest can be calculated by compounding. There ar

Sec. 1.2 Introduction to Relations and Functions
This section starts out with some notation discussion about how we can refer to a group
of numbers on the number line. Say , for example, we wanted to indicate the numbers
greater than 2. We could do this i

Sec. 1.3 Linear Functions
Linear Functions :
Recall that y = mx + b is the general equation of a line with slope m
and y-int b!
We show a linear function by replacing y with f(x)!
f(x) = mx + b
The book defines a linear function as one of the form f(x) =

Sec. 1.4 Equations of lines & linear models
Slope-intercept equation of a line : y = mx + b
or
f(x) = mx + b
Any equation in x1 and/or y1 is called a linear equation (its graph is a straight line).
Ex. x + y = 10
y= -3x + 2
y=3
x = -2
Some other equations

Sec. 1.5 Linear Equations & Inequalities
The formal definition of a linear equation from the book is :
Definition : A linear equation in one variable is an equation that is equivalent to one of
the form ax + b = 0 , where a and b are real numbers, and a 0

Sec. 1.6 Applications of Linear Functions
The last section is using application problems (word problems) which will use linear
equations to solve for the unknown value.
I recommend the following (book shows 4 steps) :
(1) Read the problem carefully. (for

Sec. 2.1 Graphs of Basic Functions and Relations; Symmetry
Continuity of functions
A function is said to be continuous if you can draw its graph from its leftmost domain
value to its rightmost domain value without lifting your pencil up off of the paper.

Sec. 2.2 Vertical and Horizontal Shifts of Graphs
Transformation of functions ? transform means to change! Ex. A transformer out on
the utility pole. The transformer toys you used to get in your Happy Meals would
change from a semi-truck into a robot figu

Sec. 2.3 Stretching, Shrinking, and Reflecting Graphs
Stretching/Shrinking multiplying or dividing by a value
See class handout!
Ex. f(x) = | x |
we are multiplying the basic graph by 3 (and the
3 is outside the absolute value operation), this
will multip

Sec. 2.5 Piecewise-Defined Functions
Piece-wise functions:
Most functions are smooth continuous shaped graphs.
Graphs like :
seem to be following 3 different rules!
x 2 + 1.if .x < 0
Ex. f ( x) = x 3.if .0 x 3
x .if .x > 3
is an example of a piece-wise

Sec. 5.5 Solving Exponential and Logarithmic Equations
To solve exponential equations there are two techniques generally used :
1) If the value that the exponential expression is equal to is a power of
the same base, get the bases the same. If the bases a