September 11, 2012
Quiz #3 (1.6, 2.1, & 2.2)
Classrb:
Math 1210
-
Score
rnstructor: l<atrina Johnson
Name:
008 Fall 2012
Instructions: Complete each problem. Show all of your work as partial credit will be
given where appropriate, and there may be NO credit given for problems without
supporting work. All answers should be completely simplified, unless otherwise
stated. You may NOT use a calculator. You may use a 3x5 index card.
(6 pts) 1. State where the function is continuous, explain your reasoning.
—
sin(x)
2
x +1
Cx)
‘S
Q
Cor4\%jOUS
X
,
s
ç
ç
-
Q
0.
—
c
CouS-
)(24\
S
,
Co-vUo)S
C
(9 pts) 2. State whether this function is continuous or not. If the function is
discontinuous, give the x-values where the discontinuities occur and also state why
it is discontinuous.
I—2x+5 ifxl
g(x) =
7 LJX >1
Continuous?: YES or
(circle one)
If NO, g(x) is discontinuous when x
Why is g(x) discontinuous?
m
.-1vY
C(X)
(10 pts) 3. The function h(x) is discontinuous when x
defined to that h(s) is continuous for all x?
=
16
h(s)
=
—4. How must h(—4) be
s+4
=
(“)
(4(xt4)
__—
(Y%
_-.—--—-—-—-—
I x
—16
2
x+4
x=-’.\
(15 pts) 4. Use the limit definition of the derivative to find the f(s) when
f(x)=—--.
s—i
-
-
0
(
0
f(x)=