Number 
Question 
Answer 
See the work 
4.

Let
Show that f(x) has a jump discontinuity at x= 5 by calculating the limits from the left and right at x= 5.

12
0.14285714286

The work
Point Cost: 1 
5.

Let
Find the indicated onesided limits of f , and determine the continuity of f at the indicated point.
ƒ(3)=________
Is ƒ continuous at x= 3?

3
8
DNE
8
No

The work
Point Cost: 1 
6.

Let
Find the indicated onesided limits of ƒ, and determine the continuity of ƒ at the indicated point.
ƒ(7)=_________
Is ƒ continuous at x=7 ________

14
14
DNE
ƒ(7)= 1
Not continuous at 7

The work
Point Cost: 1 
7.

Let
ƒ(x)=(x8)/((x1)(x+3))
use interval notation to indicate where ƒ(x) is continuous.

(∞, 3) U (3,1) U (1, ∞) 
The work
Point Cost: 2 
8.

Let
ƒ(x)=7x^84x^4+2
use interval notation to indicate where ƒ(x) is continuous.

(∞, ∞) 
The work 
9.

Let
ƒ(x)=sqrt(x3)
use interval notation to indicate where ƒ(x) is continuous.

[3, ∞) 
The work
Point Cost: 1 
10.

Let
ƒ(x)=(x2)^(1/3)
use interval notation to indicate where ƒ(x) is continuous.

(∞, ∞) 
The work 
11.

For what value of the constant c is the function ƒ continuous on (∞, ∞) where
c=______

34/7 
The work
Point Cost: 3 
12.

Let
Show that ƒ(x) has a removable discontinuity at x= 4 and determine what value for ƒ(4) would make ƒ(x) continuous at x= 4. Must redefine ƒ(4)=______

ƒ(4)=2 
The work
Point Cost: 1 
13.

Let
Show that ƒ(x) has a jump discontinuity at x= 3 by calculating the limits from the left and right at x=3

21
14

The work
Point Cost: 1 
14.

Determine if the Intermediate Value Theorem implies that the equation x^33x1.9=0 has a root in the interval (0,1).

No

The work 
15.

Let ƒ be a continuous function such that ƒ(6)=1 and ƒ(6)= 1. Using the Intermediate Value Theorem classify the following statements as ( A ) Always true ( B ) Never True, or ( C ) True in some cases; False in others. 1. ƒ(0)= 0 Answer:___ 2. For some c , where 6 &le c &le 6, ƒ(c)= 0. Answer:___ 
1. C
2. A 
The work 