To turn in: follow instructions on Blackboard
MTH157 Project 2 50 points
NAME: Sienna Robinson
If you retained your results from Project 1 you will be able to use them again. If
you lost your Project 1, then you need to select again the data and have Stat
Venezia Laguerre
MTH 157 Online
Project #1 Chapters 1, 2, 3, and 4
Chapter 1:
12.
A cellular phone company is looking for ways to improve customer satisfaction.
They want to select a simple random sample of four stores from their 15
franchises in which to
Circles Notes
The graph of an equation
The graph of the function y = x2
Is the set of all points (x, y) that satisfy y = x2
E.g. (2, 4), (-3, 9), etc.
We can take any equation and graph it
By placing all the points that satisfy it
On a coordinate system
W
Defining a function numerically (by table)
Function name: g
Definition:
x
g(x)
1
5
3
-2
4
5
0
0
Rule of association:
Inputs are in top row of table
Corresponding outputs are below in second row
Examples of usage:
g(1) =
g(0) =
g(2) =
a function defined sy
Numbers, Data, and Problem Solving
The Real Number System
Start with
Natural 1, 2, 3, . .
Numbers
And do the following:
Add
To get
Which are:
the
larger
class of
Negative whole
Integers
. . . -3, -2, -1, 0, 1, 2, 3, . . .
numbers and 0
Fractions:
Rational
Chapter 3 Quadratic Functions and Models
The geometry of a quadratic function: a parabola
The algebra of a quadratic function
Quadratic functions have two algebraic forms:
General form: f(x) = ax2 + bx + c
b b
,f
Vertex (using the vertex formula) =
2
Functions Notes
Function: a mathematical idea
Informal definition of function
A function is a
rule of association
that associates any valid input
with exactly one output
The set of all possible valid inputs is called:
The domain of the function
The set o
Negative exponents translate to reciprocals. That is,
So
Here is a rule for raising a power to a power:
Again, I'll do a specific example to check that this makes sense.
Example.
Warning:
. The expression "
" is read to mean
that you square the 3 first, t
Types of Functions and Their Rates of
Change
The graph of f(x) = 2x + 1 is a straight line
True for any linear function f(x) = mx + b, where m and
b are any real numbers
Note: f(1) = 3, f(2) = 5, f(3) = 7, f(4) = 9, etc.
As the input increases by 1 un
Visualization of Data
Relations
Ordered pairs of numbers:
(2, 3) - can be graphed on a coordinate system (I assume
you know how to do this)
the 2 is called the first coordinate
o the x coordinate on an x-y coordinate system
the 3 is called the second c
For example, the number of atoms in a sample of carbon that has a
mass of 12 grams (a little less than half an ounce) is around
602,000,000,000,000,000,000,000 atoms.
Clearly it is inconvenient to right all of those zeros. The
solution to this problem is