Math 1501 12:00
Dr. Gore 4/4/17
f(x)= x2/ (x2- 4)
To form a completely accurate graph of the function above, much information is needed.
Let the function f(x)= x2/ (x2- 4) be f. To find the domain of f, one must first find all numbers that
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a. The average
sum of all values
total number of values
a. Is the middle value in the sorted data or halfway
between the two middle values if the number of
values is even
3. The mode
a. Is the most common value or group of va
Chapter 3 Class Notes
Absolute Change vs. Relative Change
1. Absolute Change= New Value Reference Value
2. Relative change - Absolute Change / Reference Value
a. New Value- Reference Value / reference Value
3. The absolute Difference- is the actual differ
Absolute Error vs. Relative Error
1. Absolute error = measured value true value
2. Relative error = absolute error / true value
a. Measured value true value / true value
3. Accuracy vs. Precision
i. Describes how closely a measurement
1. Compound interest formula for continuous compounding
A = P e (APR )
A = accumulated balance after Y years
P = regular payment (deposit) amount
APR = annual percentage rate (as a decimal)
Y = Number of years
e = the special number called Eulers con
1. Two type of arguments
a. Inductive Reasoning
b. Deductive Reasoning
2. What are units?
a. Quantity describes what is being measured or counted.
3. Metric Conversions
a. Moving between metric units requires shifting the
decimal place one to th
a. Is the study of the methods and principles of reasoning
a. Uses a set of facts or assumptions, called premises, to
support a conclusion
a. Is a deceptive argument
b. An argument in which the conclus
The argument given or described involves some kind of fallacy.
Identify the fallacy.
When confronted with questions from the press about alleged
scandals, a congressman replies that the allegations against him should
be ignored since his accuser is par
Use the compound interest formula for continuous
compounding to determine the accumulated balance after
the stated period
1. A $3217 deposit in an account with an APR of 6.5%
compounded continuously for 4 years.
Find the annual percentages yiel
Solve the problem
1. A sports shop sells tennis rackets in 4 different weights,
2types of string, and 3 grip sizes. How many different
rackets could they sell?
a. 4*3*2= 24
Find the indicated probability.
2. Three fair coins are tossed. Find the probabili
F INAL EXAM REVIEW
Identify the fallacy in the given arguments.
(a) You should brush your teeth every day because brushing your teeth is very important.
(b) Buy this televisionits the most popular brand!
(c) Dad: If you want to do well in lif
Linear Equation Problems
Find an equation of the line with y-intercept (0, -4) and slope 3/5.
Graph y = 2x + 3.
Graph 3x + 2y = -6.
Find an equation of the line passing through (4, 0) with slope 1/3.
Find an equa
Exponent Rules OR Exponents Rule!
Laws of exponents for real numbers a and b and integers m and n:
am an = am + n
52 5 4 = 56
= am n
a n =
a0 = 1
10 0 = 1
a b n
a = a
a 10 b ,
where 1 a < 10 and b is an integer
Simplify. All final answers should have positive exponents only. Use the
exponent rules, and then you are welcomed to confirm your answers with a
(c) 5-1 + 3-
1. Complete the table below, and graph the line.
y x 1
Complete the table below, and graph the line.
y = -x + 4
3. Complete the table below, and graph
y x 6
4. Complete the table below,
1. Dane is three years older than twice his brothers
age, b. If the sum of their ages is 27, find Danes age.
2. The sum of the distance, m, and 24, divided by 7, is
11. Find m.
3. Solve for n.
N = cfw_1, 2, 3, 4, 5, . . .
W = cfw_0, 1, 2, 3, 4, 5, . . .
Z = cfw_. . . , -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . . .
the set of real numbers that can be expressed as a ratio of
Note: Both termin
Simplify the following algebraic expressions. (Most of these involve combining like terms
using the distributive property.)
1. 4x + 3x + 2x + x
10y 2 3y 2 2y
2. 3(x +4) 5(x 1)
Subtract 7x 2 from 4x + 6
3. 8 + 5(4y 3)
Twice a number, subtracted from 12
Important characteristics of Data
A representative or average value that indicates
where the middle of the data set is located.
A measure of the amount that the data values
The nature or shape of the s
Z score: How many SD you are away from the
Range Rule of Thumb
S= Max Min / 4
The range is the simplest measure of variation to find. It is
What is a Discrete Random variable?
A random variable X is said to be discrete if it can
Assume only a finite or countable infinite number of distinct
A discrete random variable can be defined
Select some starting point and then select every
kth element in the population.
Use results that are easy to get.
Subdivide the population into at least two
Chapter 1 Introductory Statistics
Basic steps in a statistical study
Draw from population
Collect raw data and summarize
Make inferences about population
Start by identify goal
Collections of observation ( suc