Enrichment Topic: Mathematics and Music
Jimmy Korinko, May 31, 2016
I chose this enrichment topic because I love music in nearly all its forms, as well as singing, so
when I saw the chance to talk an extended time about music, why not right? Music is a co
My two equations were the standard equation of y=0.25x2-3x+10.5 and the transformation
equation of y=0.25(x-6)2+1.5. To convert from the standard, you would do this:
y=0.25x2-3x+10.5
y=.25(x2-12x)+10.5
y=.25(x2-12x+36-36)+10.5
y=.25(x-6)2-36)+10.5
y=.25(x
Function Fact Sheet
Name of Function Family:_Linear_
Formula
The general formula for this type
of function (if there is one):
If there is not a general formula for this type of function, how do you tell if a given formula is
this type of function?
y = mx
1. y = log2(x+1)
2. A logarithmic function always has a vertical asymptote. The domain tells us this because
it never reaches one point, but always gets closer
3. They never have horizontal asymptotes. The range confirms this because it is evergrowing.
4.
Function Compare/Contrast Assignment
I. Complete the following chart by filling in each cell with an example and a description of how to
recognize each function when given in that representation.
Linear
Symbolic
y = mx + b
The highest power
on the variabl
Quadratic
Cubic
Example equation:
y
Rational
Example equation:
y
Example Data:
Example Data:
Example Application:
Example equation:
p ( x)
y
q( x)
Example Data:
Example Application:
Independent variable is
squared.
Graph is a parabola
To graph: find the
v
Day 9: Review for Unit 1 Test
Instructions:
Add instructions.
Answer the following six questions. For each statement below identify
whether it is true or false.
1. True or false? A relation is also a function.
2. True or false? The domain for (x)=2x2-3x+5
At the bottom of this file you will find the tabs for each of the nine function families that we will learn about in Unit 1.
To explore, choose the family that you want to learn about by clicking on the appropriate tab.
As you change the numbers in the gr
Transformations
Practice Identifying
This PowerPoint allows you to practice what you know about
transformations. Get a piece of paper (and maybe even some graph
paper). Write down your answers to each question. Only then
should you go on to the next slide
Solving the Simplest
1. Solve each of these matrix equations by first turning them into a system of linear
equations by using the multiplication algorithm that we developed in class (please
read the reference: Matrices and Linear Systems) and then using o
1. y = x
2. This would look like this:
3. y =
3 x
4. This would look like an S like this:
5. Radical functions never have an end, a maximum, and are never not one-to-one,
6. When you swing back and forth on a swing at the park, how long it takes you to co
FDMAT 108 (Mathematical Tools for the Real World)
UNIT 2 GUIDED PRACTICE SOLUTIONS
4-C
1. (Similar to problem #36 of 4C in your textbook.)
Very Comfortable Retirement
Suppose you would like to have a retirement fund from which you can draw an income of $1
FDMAT 108 (Mathematical Tools for the Real World)
UNIT 2 GUIDED PRACTICE SOLUTIONS
4-B
1.
Describe in easy to understand language the difference between simple interest and compound interest
and why compounding truly makes a difference in the long run.
Si
Math 112 Lecture Notes
Fall 2016 Coach Dorff
Section 2.8 Sept 28, 2016 (day 13)
Preliminaries
1. Prayer
Exam 1: Mon Oct 3 - Wed Oct 5; late day Thu Oct 6
go
3. For the exam, you should know how to do the following proof-like questions:
(a) Intermediate Va
Math 112 Lecture Notes
Fall 2016 Coach Dor'
Section 2.7 Sept 26, 2016 (day 12)
Preliminaries
1. Prayer
2. Exam 1: Mon Oct 3 - Wed Oct 5; late day Thu Oct 6
3. Extra Credit opportunity. Attend the STEM Career Fair y talk with the recruiters from
at least 3
Math 112 Lecture Notes
Fall 2016 Coach Dorff
Section 2.3 B Sept 14, 2014 (day 7)
Preliminaries
1. Prayer
2. Math Dept Opening Student Social Friday Sept 16 at 6:000 pm in Kiwanis Park (just east of
BYU). Hot dogs and drinks provided; you bring a side dish
Math 112 Lecture Notes
Fall 2016 Coach Dorff
Section 2.4 Sept 16, 2016 (day 8)
Preliminaries
1. Prayer
2. Math Dept Opening Student Social Friday Sept 16 at 6:00 pm in Kiwanis Park (just east of
BYU). Hot dogs and drinks provided; you bring a side dish or
Math 112 Lecture Notes
Fall 2016 Coach Dorff
Section 1.5 Sept 7, 2016
Preliminaries
1. Prayer.
Discussion
1. Inverse Functions
f is 11 means for every y-value f equals there is only one x-value that gives it. This idea can be
demonstrated by the horizonta
Math 112 Lecture Notes
Fall 2016 Coach Dorff
Section Appendix D Aug 31, 2016
Preliminaries
1. Prayer.
(a) Question #8: For a rectangle of perimeter of 22 m, the area is A(x) = x(11 x). Why is
(, ) not the domain? Because x and 11 x are side lengths and so
Math 112 Lecture Notes
Fall 2016 Coach Dorff
Section 2.3 A Sept 12, 2016 (day 6)
Preliminaries
1. Prayer
2. Office Hours - you can go to any of the TAs office hours or to my office (MWF 8:309:30 in 279
TMCB) for help. A list of the office hours are on the
income
expenses
total
September October November December January February March April May June
500
510
520
530
540
550
560 570 580 590
400
400
400
400
400
400
400 400 400 400
$1.00
July August September October
600
610
620
630
400
400
400
400
Estimate of
Details for '5C Prep Quiz'
Item:
5C Prep Quiz
Score:
100% (Calculated)
Submission History
Due:
mircoles, 18 de marzo de 2015
Submitted:
domingo, 15 de marzo de 2015 22:39
Answers:
1. Did you read this section in the textbook prior to taking the
Quick Quiz
1. Consider a typical 30-year fixed rate mortgage. During which of the following years is the highest
portion of each payment applies to interest?
a. 30th year
b. 25th year
c. 15th year
d. 1st year
2. Calculate the monthly payment for a home mortgage of $