MATH1010U:
Chapter 1
1
FUNCTIONS AND MODELS
NOTE:
Today is a VERY fastpaced review of some of the precalculus knowledge
you should have for this course.
To get more practice and make sure you
understand the concepts, check out the precalc package at
http://faculty.uoit.ca/kay/precalc
with text files, miniclips, and practice tests!!!
Trigonometry (Appendix D, pg. A24)
•
special angles
•
converting between radians and
degrees
•
trig functions
•
trig on unit circle
Example:
Convert
5
π
radians to degrees.
Example:
Evaluate
⎟
⎠
⎞
⎜
⎝
⎛
3
4
cos
•
NOTE:
We will use radians in this course unless otherwise stated
Four Ways to Represent a Function (Section 1.1, pg. 11)
Domain and Range
Definitions:
Domain:
The set of all possible
x
values that are admissible inputs into the function.
Range:
The set of all possible values of
)
(
x
f
as
x
varies throughout the domain.
Example:
Find the domain of
x
x
x
x
f
2
2
cos
3
1
1
4
)
(
−
+
+
−
=
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentMATH1010U:
Chapter 1
2
Useful Properties
Symmetry
Definition:
A function is
even
if
)
(
)
(
x
f
x
f
=
−
for all
x
(i.e. symmetric with respect to
the
y
axis).
A function is
odd
if
)
(
)
(
x
f
x
f
−
=
−
for all
x
(i.e. symmetric about the
origin)
NOTE:
Many functions are neither even nor odd.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Kim
 Calculus, PreCalculus, Logarithm, $17, 7 mg, 5 radians, $300000

Click to edit the document details