About this paper

Appears in:
Pages: 2069-2074
Publication year: 2015
ISBN: 978-84-606-8243-1
ISSN: 2340-1117

Conference name: 7th International Conference on Education and New Learning Technologies
Dates: 6-8 July, 2015
Location: Barcelona, Spain

FUNCTIONS AND THEIR INVERSES

S. Litvinov1, E. Litvinova2

1Pennsylvania State University Hazleton (UNITED STATES)
2Bloomsburg University (UNITED STATES)
Based on a long-time experience, we shall state that finding inverses of elementary functions with restricted domains could be a rather challenging task for the majority of algebra/pre-calculus/calculus students and quite often even for experienced instructors involved in teaching such courses.

This phenomenon can be easily explained: one has to be careful with the domains and ranges of the functions involved. This presentation addresses the issues that arise in the course of solving such problems for a wide variety of functions, including quadratic, irrational, exponential, logarithmic, and some polynomial and rational functions. First, we examine examples where one needs to verify whether a given function is one-to-one and if not to decide how to restrict its domain to end up with a one-to-one function. Then we outline rigorous procedures that can be employed when finding the inverses of one-to-one functions.
@InProceedings{LITVINOV2015FUN,
author = {Litvinov, S. and Litvinova, E.},
title = {FUNCTIONS AND THEIR INVERSES},
series = {7th International Conference on Education and New Learning Technologies},
booktitle = {EDULEARN15 Proceedings},
isbn = {978-84-606-8243-1},
issn = {2340-1117},
publisher = {IATED},
location = {Barcelona, Spain},
month = {6-8 July, 2015},
year = {2015},
pages = {2069-2074}}
TY - CONF
AU - S. Litvinov AU - E. Litvinova
TI - FUNCTIONS AND THEIR INVERSES
SN - 978-84-606-8243-1/2340-1117
PY - 2015
Y1 - 6-8 July, 2015
CI - Barcelona, Spain
JO - 7th International Conference on Education and New Learning Technologies
JA - EDULEARN15 Proceedings
SP - 2069
EP - 2074
ER -
S. Litvinov, E. Litvinova (2015) FUNCTIONS AND THEIR INVERSES, EDULEARN15 Proceedings, pp. 2069-2074.
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