New York University
Algebra and Calculus, Fall 2011
Review Problems for Midterm 2
Exam 2 covers 3.1, 3.2, 3.3, 3.4, 3.7, 4.1, 4.2, 4.3, 4.4, 4.5
1. Find a quadratic function that has zeros at x = 2 an
Precalculus-Homework Assignment 7
Due Thursday 10th, beginning of class
Covers 4.1-4.4
Gemma Huguet
New York University
Read Sections 4.1-4.4
Do the following problems from the Textbook:
Please make s
Precalculus-Homework Problems - Stepp
HW #8
(1) Section 4.3 Problem 85
(2) Section 4.3 Problem 90
(3) Find a formula for an exponential function y = kax with y-intercept at 10 and whose graph passes
t
New York University
Algebra and Calculus, Fall 2012
Review Problems for Final Exam
Problems from the book
Section
Section
Section
Section
Section
5.1:
5.2:
5.3:
5.4:
5.5:
23-25, 35, 36, 40-43
5-8, 25,
3
1
2
x=2
3
x
x = 1 x = Precalculus-Homework Problems - Stepp
2
HW #8
y
x = 1
(1) Find possible formulas for the two following functions:
y
38.
x=1
x = 2
2
x
2
y
36.
x
y
x=3
!
3
x
(0, 3)
18 11x + x2
y
Please grade as following: For 35, 77, 40 and 34 please grade out of 3 points each:
5. 6 points
a) 2.9;
b) (2.2, 2.9) and (6.1, 4.9) answers may vary
c) 0, 4,8 zeros or roots or x-intercepts
d) y = 0
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cos t = sin t +
2
= sin
t = cos(t)
2
Pythagorean Identity
Precalculus-Homework 9
cos2 t New York 1
+ sin2 t = University
Hand in the following problems. Do not forget to:
Tangent and Cotangent
I Wr
In Problems 2332, give a possible formula for the polyno11.3 THE SHORT-RUN BEH
New York University
11.3 POLYNOMIALS
11.3 THE SHORT-RUN BEHAVIOR OFTHE SHORT-RUN BEHAVIOR
453
mial.
Algebra and Calculus,
New York University
Algebra and Calculus, Fall 2013
Some Important Topics for the Final
1. General:
(a) Know the graph of every base function we worked on
(b) Know how to nd the x-intercept(zero) and
Precalculus-Homework Problems - Stepp
HW #6
(1) Section 3.2 Problems 26,34,80
(2) Section 3.3 Problem 24,46
(3) Find a fourth-degree polynomial P (x) that has zeros at x = 0, x = 1, x = 1, and x = 2 a
All about Functions
OBJECTIVES:
1. State clearly and precisely the denition of a function.
2. Given any function, be able to express the functions in all of the four representations.
3. Find the domai
Worksheet Piecewise Functions
Algebra 2
Name:
Part I. Carefully graph each of the following. Identify whether or not he graph is a function. Then,
evaluate the graph at any specified domain value. You
The Algebra of Functions
OBJECTIVES:
1. Compute the sum and dierence of functions and determine the domain of the result.
2. Compute the product and quotient of functions and determine the domain of t
New York University
Algebra and Calculus, Fall 2011
Review Problems for Midterm 1
1. Find all x that satisfy given inequalities.
(a) 2x 4 0
(b) x2 4x + 3 0
(c) x2 3x 4 > 0
(d)
(e)
x+2
x(x2)
2
x
x 2 4
New York University
Algebra and Calculus, Fall 2011
Material for the Final and Practice Final
1. General:
(a) Know the graph of every base function we worked on
(b) Know how to nd the x-intercept(zero
HW-2-Solutions
Page 1
HW-2-Solutions
Page 2
Job: 1-3pt18-main Sheet: 1 Page: 1 (September 21, 2011 11 : 59) [1-3pt18-main]
1
1-3pt18
3)
1. Sri Lanka is an island that experienced approximately linear
Page 1
Page 2
9) The graph of f (x) contains the point (3,-4). What point must be on the graph of
1. f (x) + 4(3,0)
2. f (x + 5)(-2,-4)
3. f (x 3) 2(6,-6)
4. f (2x + 4) 3(-0.5,1)
10)
Using the table b
Precalculus-Homework Assignment 4
Due Thursday 20nd, beginning of class
Covers 3.1
Gemma Huguet
New York University
Read Section 3.1
Do the following problems from the Textbook:
Please make sure you w
Precalculus-Homework Assignment 5
Due Thursday 27th, beginning of class
Covers 3.2-3.3-3.4
Gemma Huguet
New York University
Read Sections 3.2-3.3-3.4
Do the following problems from the Textbook:
Pleas
Precalculus-Homework Assignment 6
Due Thursday 3rd, beginning of class
Covers 3.7
Gemma Huguet
New York University
Read Sections 3.7
Do the following problems from the Textbook:
Please make sure you w
Pythagorean Identity
cos2 t + sin2 t = 1
Tangent and Cotangent
Precalculus-Homework Assignment 8
Due Thursday December 1, beginning of class
sin t
1
tan t = Covers 5.1-5.2
=
cosGemma Huguet
t
cot t
rves in Figure 7.87 model three differB
6-2pt32
35.
: (i) moderately heavy trafc with some 6-1pt32tab h 4.0 5.2 6.2 6.5 6.2
stop-and-go rush-hour trafc; and Precalculus-Homework Assignment 9 10 11 12