FACE TO FACE LAB QUIZ WEEK 2
Use the following graph to answer question 1.
1. Give any values of x where f has an removable discontinuity.
a. -1
b. 1
c. -1 and 1
d. 4
e. 3
f. None of these.
2. Which of the following best describes the behavior of f  x  
a.
b.
c.
d.
e.
f.
Jump discontinuity.
Removable discontinuity.
Infinite discontinuity.
The function is continuous.
All of these.
None of these.
3. Give the values of x where f  x  
a.
b.
c.
d.
e.
f.
x 1
is continuous.
x  4x  3
2
All x except x = 3.
All x except x = 1 and x = -3.
All x except x = 1.
All x except x = 1 and x = 3.
All x.
None of these.
x 1
at x = -1.
x 1
 Ax  x 2 , x  1
4. Give a value of A so that the function f  x    3
2 x  3 x, x  1
is continuous.
a. 1
b. 0
c. There is no such value.
d. -1
e. 2
f. None of these.
5. Find lim
x 
a.
b.
c.
d.
e.
f.
sin  x 
x
.
3
-3
DNE
0
1
None of these.
6. Find lim
u 0
sin  4u 
.
u cos  u 
a. DNE
7. Find lim
w 0
b. -1
c. 0
d. 1
e. 4
f. None of these.
c. 1
d. 1/2
e. 1/4
f. None of these.
c. -2
d. 2
e. 0
f. None of these.
 w  2  sin  2w  .
w
b. 2
a. 4
1  cos 2 x
.
x 0
x2
a. -1
b. 1
8. Find lim
9. If f  x   x 2  x  1 which of the following will calculate the derivative of f (x)?
a.
x
lim
2
 
 x  1  h  x2  x  1
b.
h
h0
 x  h
c. lim

2
 
  x  h  1  x 2  x  1

d.
h
h 0
x
lim
2
 
 x  1  h  x2  x  1
h
x 0
 x  h
lim

2
x 0
 
  x  h  1  x 2  x  1
h
e. None of these.
f 1  h   f 1
.
h
d. DNE
e. -1
10. Let f x   x 2  3x . Give the value of lim
h0
a. 2
b. 1
c. -2
f. None of these.
