Homework: Graphing
Name: _
Date: _
The following graph shows the temperature throughout the month of March. Actually, I just made this graph up.
The numbers do not actually reflect the temperature throughout the month of March. We're just pretending, OK?
Name
February 22, 2012
Honors Algebra 2
7.3 extra problems page 1
More on polynomial zeros and factors
Key facts about any polynomial P(x):
Factor Theorem: (x a) is a factor of P(x) if and only if P(a) = 0 [a is a zero].
P( x)
Remainder Theorem: The remai
Name
February 23, 2012
Honors Algebra 2
Polynomial functions: a summary page 1
Polynomial functions: a summary
Throughout the following, suppose P(x) = axn + + k where n is the polynomials highest
exponent (the degree).
Zeros and factors
Fundamental conne
Name
February 29, 2012
Honors Algebra 2
Polynomial application problems page 1
Polynomial application problems
1. A pyramid can be formed using equal-size balls. For example, 3 balls can be arranged in a
triangle, then a fourth ball placed in the middle o
Name
March 9, 2012
Honors Algebra 2 Practice Test
Polynomial Functions page 1
General directions: Show your work and/or explain your reasoning on all problems.
1. Write a function formula for a polynomial function fitting each of the descriptions below.
E
Name
February 24, 2012
Honors Algebra 2
Advanced factoring methods page 1
Advanced factoring methods
Each of the three factoring methods shown in todays lesson applies only for a specific kind of
polynomial or specific kinds of factors.
A. Factoring by gr
The Function Game: Leaders Sheet
Only the leader should look at this sheet. Leader, use a separate sheet to cover up all the
functions below the one you are doing right now. That way, when the roles rotate, you will only
have seen the ones youve done.
1.
Name
Date _
Honors Algebra 2 (J. Sera)
Class notes
Inverses of functions
Pairs of inverse functions
Here are some ways to tell whether two functions f(x) and g(x) are inverses of each other.
Using composites: f(x) and g(x) are inverses if f(g(x) = x and g
Name
Honors Algebra 2
Problem set page 1
More problems on inverses
Answer on separate paper, and make graphs on graph paper.
1. To get an inverse that is also a function, the function you start with needs to be a
one-to-one function. Then answer these que
Name
Date_
1. Answer the following questions about function
F(x), whose graph is shown. (Each piece of the
graph is a portion of a straight line.)
a. Write a piecewise function formula for F(x).
F ( x) =
b. What are the domain and range of F(x)?
domain:
Name
Date
Honors Algebra 2 (J. Sera)
Additional problems (section 2.4) page 1
More problems on function operations
Answer these questions on separate paper (not enough room here). Make graphs on graph paper.
Addition and subtraction
For questions 1 throug
Inverse Functions - Notes
Lets say Alice makes $100/day. We know how to answer questions such as "After 3 days, how
much money has she made?" We use the function m(t) = 100t.
But suppose I want to ask the reverse question: If Alice has made $300, how many
Homework: Inverse Functions
Name _
Exercise 1
On our last Quiz Review, we did a scenario where Kaitlyn distributed two candy bars to each student and five to
the teacher. We found a function c (s) that represented how many candy bars she distributed, as a
Name _
February 6, 2012
Honors Algebra 2
Chapter 5 Test Review
1. Find the solutions of these quadratic equations using the specified methods.
Give answers as exact solutions: include both real numbers and complex numbers.
a. 6x2 = 13x 6
by factoring
b. 5
Name
December 14, 2011
Honors Algebra 2
notes and homework page 1
Finding zeros of quadratic functions using factoring
Strategy for finding zeros using factoring
Here is a strategy that can be used to find the zeros of some quadratic functions:
Express t
Homework: Functions in the Real World
_
Name:
Date: _
Exercise 1
Laura is selling doughnuts for 35 each. Each customer fills a box with however many
doughnuts he wants, and then brings the box to Laura to pay for them. Let n represent the
number of doughn
Function Quiz Review
Name_
Date_
Exercise 1
Chris is 1 years younger than his brother David. Let D represent David's age and C represent Chris's age.
a. If Chris is fifteen years old, how old is David?
16.5
b. Write a function to show how to find David's
Activity - Composite Functions
Exercise 1
You are the foreman at the Sesame Street Number Factory. A huge conveyor belt rolls along, covered with big
plastic numbers for our customers. Your two best employees are Katie and Nicolas. Both of them stand at t
CompositeFunctions
You are working in the school cafeteria, making peanut butter sandwiches for todays lunch.
The more classes the school has, the more children there are.
The more children there are, the more sandwiches you have to make.
The more sandwic
Homework: Composite Functions
Exercise 1
An inchworm (exactly one inch long, of course) is crawling up a yardstick (guess how long that is?). After the first
day, the inchworm's head (let's just assume that's at the front) is at the 3" mark. After the sec
Name
Date _
Honors Algebra 2
Chapter 2 Review page 1
Show the complete work needed to answer each question; the quality of your responses will be a
factor in the grading.
1. Answer the following questions using these two functions:
f(x) =
g(x) = 3x 5
Show
Name
April 28, 2011
Honors Algebra 2
8.2 extra problems
More problems on rational function graphing
1. Let F(x) =
( x + 1)( x 2 + x 6)
.
( x 2)( x 2 x 2)
a. What real numbers are excluded from the domain of F(x)? Explain why.
b. Where are the discontinuit
Name
May 5, 2011
Honors Algebra 2 review problems
Rational Functions, etc. (8.18.5)
Test on Friday, May 6 covers direct and inverse variation, rational functions, rational expressions,
rational equations, and rational inequalities. In the textbook, this i
Name
January 10, 2011
Honors Algebra 2
Zeros and solutions day 2 page 1
Zeros and solutions (continued)
The important connection
f(x) = g(x)
is equivalent to
f(x) g(x) = 0.
The solutions to the
equation f(x) = g(x)
are the same as
the zeros of the
functio
Name
January 6, 2012
1
Honors Algebra 2 notes and problems
Vertex review and application problems page
Review: ways to find the vertex
On the graph of a quadratic function (also known as a parabola), the maximum or minimum
point is called the vertex. Here
Name
January 17, 2012
Honors Algebra 2
Quiz Review 5.1-5.5 page 1
Show the complete work needed to solve each problem.
1. Use the Pythagorean Theorem to solve the following. If necessary, approximate each solution
to the nearest hundredth.
a. A hiker leav
Honors Algebra 2
Review 5.1 5.3 Answers
Name _
Date _
Show that each function is a quadratic function by writing it in the form and identifying a,
b, and c.
1)
2)
FOIL
Dist.
Ident. a = 1, b = 4, and c = 21
a = 2, b = , and c = 14
Identify the direction of
GraphingFunctions
Graphing, like algebraic generalizations, is a difficult topic because many students know howtodoitbut are not
sure whatitmeans.
For instance, consider the following graph:
If I asked you Draw the graph of y = x2 you would probably remem