Topic List – Exam 4 –Winter 2011
“We could use up two Eternities in learning all that is to be learned about our own world and
the thousands of nations that have arisen and flourished and vanished from it.
Mathematics alone would occupy me eight million years.” – Mark Twain
Date covered in class
October 22 & 26
Topic
Regression
Learning Objective
Use your calculator to find a curve/ line of best fit. (Remember to
reinitialize the independent variable when appropriate)
Identify the most appropriate model based both on technology and the
context of the situation.
October 24
EXAM 3
Power Functions
October 31
November 5
Polynomial Functions
November 7
2.
Identify if a function is directly or indirectly proportional given
context, an equation, a table, or a graph.
Write the general equation for a power function from context,
solve for the constant of proportionality, and give the specific
equation
4. Sketch the graph of a power function for different powers
(even/odd and neg/pos) as well as for functions with either a
positive or a negative constant of proportionality.
5. Be able to identify and/or interpret the characteristics of each
family of functions (Directly and Indirectly Proportional Power
functions) including: intercepts, rates of change, asymptotes,
end behavior, and domain and range.
Be able to identify and/or interpret the characteristics of each family of
functions (Polynomial functions) including: intercepts, rates of change,
asymptotes, end behavior, domain and range and max/min values.
Given any polynomial function, be able to identify the leading term and
the degree and use this information to give the global behavior, the # of
turning points, and the # of horizontal intercepts.
For any polynomial function, be able to identify and interpret the vertical
intercept, the horizontal intercepts, and the max/or min. value.
Find an appropriate window on your graphing calculator in order to find
key points on the graph of a polynomial function.
November 9
Quadratic Functions
November 14
Write the general form of a power function and identify the
parts of the equation.
3.
October 29
November 12
1.
Be able to identify and/or interpret the characteristics of each family of
functions (Quadratic Functions) including: intercepts, rates of change,
asymptotes, end behavior, domain and range and max/min values.
For a quadratic function, be able to identify and interpret the vertical
intercept, the horizontal intercepts, and the vertex.
Find an appropriate window on your graphing calculator in order to find
key points on the graph of a quadratic function.
EXAM 4
**ALL EXAMS ARE CUMULATIVE**
Refer to the Exam 1 - 3 topic lists on the following pages and review your past exams.
Topic List – Exam 3 – Math 110 – Fall 2012
If you think dogs can't count, try putting three dog biscuits in your pocket and then giving Fido only two
of them. ~Phil Pastoret
Date covered in class
Topic
Sept. 26
Rules of exponents
Learning Objective
Simply expressions using the rules of exponents.
Be able to write the general form of an exponential equation and identify
the parts of the equation.
From a table, be able to determine which functions are linear, which are
exponential, and which are neither. Be able to justify your choice.
From a table, be able to write a linear and exponential equation.
Sept. 28
Intro. to Exponential Equations
Given a list of equations, be able to identify which equations represent a
linear function, which equations represent an exponential function, and
which are neither.
Given an exponential equation, be able to determine if the equation
represents growth or decay.
Oct. 1
Exam 2
Given a verbal description with a calendar year such as 1995, be able to
reinitialize the variable to read: years after 1995.
Explain why a linear function better models a relationship.
Oct. 3
Writing exponential equations from
two points
Explain why an exponential function better models a relationship.
Create an exponential equation from 2 points, one of which is the initial
value.
Oct. 5
Create an exponential equation given the initial value and a rate in
Exponential Equations - A constant percentage form.
% change
Given an exponential equation, be able to determine the rate as a
percentage and interpret this value in the context of the situation.
Match equations with graphs of exponential functions (growth and
decay).
Identify the end behavior for a given function.
Oct. 8
Visualizing exponential functions
Identify the asymptotes of a given function.
Identify and apply transformations to the equation or graph of an
exponential function.
Oct. 10
Exponential Functions – Solving for
For an exponential function: Given input, find output.
Unknowns
Oct. 12
Financial Formulas
Oct. 15
Logarithms
Identify the parts of the financial formulas:
𝑟 𝑛𝑡
𝑦 = 𝑃0 (1 + )
𝑂𝑅 𝑦 = 𝑃0 𝑒 𝑟𝑡
𝑛
Write the appropriate equation using the financial formulas:
𝑟 𝑛𝑡
𝑦 = 𝑃0 (1 + )
𝑂𝑅 𝑦 = 𝑃0 𝑒 𝑟𝑡
𝑛
Rewrite a logarithmic equation into exponential form and vice versa.
Be able to solve for a variable in the exponent using logarithms.
Continue to the Next Page
Date covered in class
Topic
Oct. 17
Review
Oct. 19
Linear, Exponential, and
Logarithmic Functions
Oct. 24
Learning Objective
Be able to complete all questions on this set of notes.
Be able to identify and/or interpret the characteristics of each family of
functions (Linear, Exponential, and Logarithmic) including: intercepts,
rates of change, asymptotes, end behavior, and domain and range.
Exam 3
**ALL EXAMS ARE CUMULATIVE**
Refer to the Exam 1 and Exam 2 topic lists on the following pages and review your past exams.
Topic List – Exam 2 – Math 110 – Fall 2012
“Do not worry about your problems with mathematics, I assure you mine are far greater.”
-Albert Einstein
Date covered in class
Topic
Sept. 17
Linear Systems
Sept. 19
Exam 1
Sept. 21
Sept. 24
Learning Objective
Given context,
 define variables
 write a linear system
 solve a linear system (algebraically (substitution or elimination)
and graphically) AND interpret the solution.
Linear Programming
Given context,
 define variables
 write an equation for the objective function
 write a system of inequalities (constraints)
 graph the system of inequalities and shade the feasible region
 find all corner points (using substitution or elimination when
needed)
 determine the combination needed to maximize or minimize the
objective function and write a conclusion statement for the
problem.
Explain what the feasible region represents.
Sept. 26
Feb. 13
Explain what the corner points represent.
Exam 2
**ALL EXAMS ARE CUMULATIVE**
Refer to the Exam 1 topic list on the following page and review your first exam.
Topic List – Exam 1 – Math 110 – Fall 2012
“For the things of this world cannot be made known without a knowledge of mathematics” –
Roger Bacon
Date covered in class
Topic
Aug. 27
Ind/Dep Variables
Learning Objective
Define independent and dependent variables (labeling with ind/dep,
meaning, units, and letter)
Identify if a relationship is a function and justify with the definition of a
function
Demonstrate proper use of function notation
Aug. 29
Definition of a function, Function Differentiate between the following statements: Evaluate f(0) and Solve
f(x)=0
Notation
Given input, find output AND interpret the results
Given output, find input AND interpret the results
Aug. 31
Transformations (shifts and
reflections)
Given an expression or a graph, be able to identify and apply
transformations (horizontal & vertical shifts, reflections)
Calculate AND interpret the average rate of change
Sept 3
Average Rate of Change, Linear
Functions
Given a table, graph, equation, or situation, be able to identify if the
function is a linear function AND justify your reasoning.
Given a verbal description with a calendar year such as 1990, be able to
reinitialize the variable to read: years after 1990.
Given a linear function, identify AND interpret the slope and vertical
intercept in the context of the problem
Differentiate between the vertical and horizontal intercept
Linear Functions
Determine the horizontal intercept AND interpret it in the context of the
situation
Write the equation of a linear function from a table, graph, or situation
Sept 5
&
Sept 7
Given an initial value and slope, write the equation for a linear function
Given any two points, be able to calculate the slope and the vertical
intercept and then write the equation using this information (saucy soda
factory question)
Given a table, graph, equation, or situation, be able to identify the
domain and range
Domain and Range
Sept 10
Sept 12
Sept 14
Sept. 19
Piecewise Functions
View Tubes Lab
Be able to use either interval or inequality notation to define the domain
and range
Write the equation for a piecewise function (from a table, graph, or
situation)
Apply all concepts above to real data. Analyze data to determine if data
can be represented by a linear function.
EXAM 1