limxc f (x) = L if and only if limxc f (x) = L and
limxc+ f (x) = L
-Given a function f , we say that f is continuous at x = c if we can
draw the graph of f without lifting our pencil at x = c. (This
Theorem (The Sandwich Theorem)
If f (x) g(x) h(x) for all x in an open interval that contains c
(except possibly at c) and
Lim xc
f (x) = lim xc
h(x) = L
then
lim xc
g(x) = L.
-We can use the Sandwich
FINAL EXAM-MATH 1300
FALL TERM, 2012
R. Blute, T. Kousha, C. Starling & C. Zhong
Please circle the name of your professor above.
First Name:
Last Name:
I.D. Number
Instructions-This nal examination co
Multiple Choice Section Questions (15)
Question 1 On what interval is the following function concave down?
f(x)=w4+2x312:c2+w+5
A) (0,4) B) (-2,1) C) (1,4) D) (3,2) E) (-1,3)
le)° LL? eff a H
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FINAL EXAM-MATH 1300
FALL TERM, 2006
R. Blute & P. Boily
Name(Print LEGIBLY)
I.D. Number
Instructions-This nal examination consists of 10 multiple choice questions worth 3 points
each. Your answers to
MAT1300 Notes By Eric Hua Contents Chapter 0. A Precalculus Review Chapter 1. Functions, Graphs, and Limits 1.1 The Cartesian Plane and Distance Formula 1.2 Graphs of Equation . . . . . . . . . . . .
-Theorem (Reflecting a Graph)
To obtain the graph of:
f (x) reflect the graph of f (x) about the horizontal axis
f (x) reflect the graph of f (x) about the vertical axis
-The logarithmic scale
good fo