# Section 1.4 Continuity and One-Sided Limits

Education

20

All Questions

20

Multiple Choice

0

True False

0

Essay

0

Short Answer

0

Not Answered

Q 1

Use the graph as shown to determine the following limits,and discuss the continuity of the function at .
(i) (ii) (iii)
A)2,2,2,not continuous
B)3,3,3,continuous
C)4,4,4,not continuous
D)3,3,3,not continuous
E)2,2,2,continuous

Free

Multiple Choice

A

Q 2

Use the graph as shown to determine the following limits,and discuss the continuity of the function at .
(i) (ii) (iii)
A)3,3,3,continuous
B)2,2,2,not continuous
C)3,3,3,not continuous
D)-3,-3,-3,continuous
E)2,2,2,continuous

Free

Multiple Choice

B

Q 3

Use the graph to determine the following limits,and discuss the continuity of the function at . (i) (ii) (iii)
A)1,-1,does not exist,not continuous
B)1,0,does not exist,not continuous
C)0,1,does not exist,not continuous
D)-4,0,does not exist,not continuous
E)0,1,0,continuous

Free

Multiple Choice

C

Q 4

Find the limit (if it exists).
A)
B)0
C)Limit does not exist.
D)
E)

Multiple Choice

Q 5

Find the limit (if it exists).
A)0
B)
C)
D)
E)Limit does not exist.

Multiple Choice

Q 6

Find the limit (if it exists). ,where
A)Limit does not exist.
B)0
C)5
D)6
E)15

Multiple Choice

Q 7

Find the limit (if it exists).Note that represents the greatest integer function.
A)3
B)-2
C)2
D)-3
E)does not exist

Multiple Choice

Q 8

Find the limit (if it exists).Note that represents the greatest integer function.
A)3
B)Limit does not exist.
C)2
D)0
E)1

Multiple Choice

Q 9

Discuss the continuity of the function .
A) is discontinuous at .
B) is discontinuous at .
C) is discontinuous at .
D) is continuous for all real x.
E) is continuous at .

Multiple Choice

Q 10

Find the x-values (if any)at which the function is not continuous.Which of the discontinuities are removable?
A) ,removable
B) ,removable
C) ,not removable
D)continuous everywhere
E) ,removable

Multiple Choice

Q 11

Find the x-values (if any)at which is not continuous.
A) is not continuous at and
has a removable discontinuity at
.
B) is not continuous at and both the discontinuities are nonremovable.
C) is not continuous at and
has a removable discontinuity at
.
D) is not continuous at and
has a removable discontinuity at
.
E) is continuous for all real x.

Multiple Choice

Q 12

Find the x-values (if any)at which the function is not continuous.Which of the discontinuities are removable?
A)4 and -4,removable
B)discontinuous everywhere 0 00
C)continuous everywhere 0 00
D)4 and -4,not removable
E)0,removable

Multiple Choice

Q 13

Find the x-values (if any)at which the function is not continuous.Which of the discontinuities are removable?
A)no points of discontinuity
B) (not removable), (removable)
C) (removable), (not removable)
D)no points of continuity
E) (not removable), (not removable)

Multiple Choice

Q 14

Find the x-values (if any)at which is not continuous.
A) is not continuous at and the discontinuity is nonremovable.
B) is not continuous at and the discontinuity is removable.
C) is continuous for all real .
D) is not continuous at and the discontinuity is removable.
E) is not continuous at and
is a removable discontinuity.

Multiple Choice

Q 15

Find the constant such that the function
Is continuous on the entire real line.
A)1
B)-8
C)8
D)-15
E)15

Multiple Choice

Q 16

Find the constant a such that the function
Is continuous on the entire real line.
A) ,
B) ,
C) ,
D) ,
E) ,

Multiple Choice

Q 17

Find the value of c guaranteed by the Intermediate Value Theorem. , ,
A)0
B)2
C)4
D)1
E)3

Multiple Choice

Q 18

Find the value of c guaranteed by the Intermediate Value Theorem. , ,
A)13
B)4
C)3
D)11
E)12

Multiple Choice

Q 19

A long distance phone service charges $0.45 for the first 11 minutes and $0.1 for each additional minute or fraction thereof.Use the greatest integer function to write the cost C of a call in terms of time t (in minutes).
A)
B)
C)
D)
E)

Multiple Choice

Q 20

Find all values of c such that f is continuous on .
A)
B)
C)
D) ,
E) ,

Multiple Choice