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Functions and Continuity: Polynomial Functions
(m36147)
Author:
Lawrence Baggett
Keywords:
behavior at infinity
,
composition
,
invertible
,
uniqueness of coefficients
Summary:
A module about polynomial functions, with a theorem establishing some elementary properties of polynomial functions, such as the uniqueness of coefficients and the behavior at infinity.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
29.15%
Revised:
20101209
Revisions:
2
Functions and Continuity: Power Series Functions
(m36165)
Author:
Lawrence Baggett
Keywords:
cauchyhadamard
,
identity theorem
,
limit
,
polynomial function
,
power series
Summary:
We introduce next a new kind of function. It is a natural generalization of a polynomial function. Among these will be the exponential function and the trigonometric functions. We begin by discussing functions of a complex varible, although totally analogous definitions and theorems hold for functions of a real variable.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
47.94%
Revised:
20101209
Revisions:
2
Functions and Continuity: The Elementary Transcendental Functions
(m36160)
Author:
Lawrence Baggett
Keywords:
exponential function
,
hyperbolic functions
,
pi
,
trigonometric functions
Summary:
This module dives deeper into power series functions, examining their properties, which coefficients in a power series give special properties, which have converging tendencies, and when they are defined everywhere. The exponential function is defined.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
35.08%
Revised:
20101209
Revisions:
2
Functions and Continuity: Uniform Convergence
(m36178)
Author:
Lawrence Baggett
Keywords:
convergence
,
converges pointwise
,
uniform limit
,
weierstrass mtest
Summary:
We introduce now two different notions of the limit of a sequence of functions. Some definitions cover uniform convergence and pointwise convergence. The Weierstrass MTest is stated and proven, as well the theorem of Abel.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
61.07%
Revised:
20101209
Revisions:
2
Functions and Function Notation
(m49301)
Author:
OpenStax College
Keywords:
dependent variable
,
domain
,
function
,
horizontal line test
,
independent variable
,
input
,
natural numbers
,
onetoone function
,
ordered pair
,
output
,
range
,
relation
,
vertical line test
Summary:
In this section, you will: Determine whether a relation represents a function. Find the value of a function. Determine whether a function is onetoone. Use the vertical line test to identify functions. Graph the functions listed in the library of functions.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
19.17%
Revised:
20150224
Revisions:
7
Functions and Function Notation
(m51261)
Author:
OpenStax College
Keywords:
dependent variable
,
domain
,
function
,
horizontal line test
,
independent variable
,
input
,
natural numbers
,
onetoone function
,
ordered pair
,
output
,
range
,
relation
,
vertical line test
Summary:
In this section, you will: Determine whether a relation represents a function. Find the value of a function. Determine whether a function is onetoone. Use the vertical line test to identify functions. Graph the functions listed in the library of functions.
Subject:
Mathematics and Statistics,
Mathematics and Statistics
Language:
English
Popularity:
2.80%
Revised:
20150220
Revisions:
3
Functions and graphs  Grade 10
(m35968)
Authors:
Free High School Science Texts Project
,
Heather Williams
Keywords:
FHSST
,
Functions
,
Grade 10
,
Graphs
,
South Africa
Subject:
Mathematics and Statistics
Language:
English
Popularity:
91.62%
Revised:
20110330
Revisions:
2
Functions and graphs  Grade 10 [CAPS]
(m38379)
Author:
Free High School Science Texts Project
Keywords:
FHSST
,
Functions
,
Grade 10
,
Graphs
,
South Africa
Subject:
Mathematics and Statistics
Language:
English
Popularity:
83.12%
Revised:
20110613
Revisions:
3
Functions and Graphs  Grade 12
(m30872)
Authors:
Rory Adams
,
Free High School Science Texts Project
,
Wendy Williams
,
Heather Williams
Keywords:
Functions and Graphs
,
Grade 12
,
Mathematics
,
South Africa
Subject:
Mathematics and Statistics
Language:
English
Popularity:
90.35%
Revised:
20110712
Revisions:
4
Functions and graphs: Exponential functions (Grade 10)
(m39348)
Author:
Free High School Science Texts Project
Keywords:
exponential functions
,
functions
,
grade 10
,
graphs
,
maths
,
South Africa
Subject:
Mathematics and Statistics
Language:
English
Popularity:
68.32%
Revised:
20110801
Revisions:
New
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