# Thread: From the graph of g, state the intervals on which g is continuous.

1. ## From the graph of g, state the intervals on which g is continuous.

Graph:
http://www.webassign.net/scalc/2-4-4.gif

Answers to choose from:

(-, -4]
(-, -4)
[-4,-2]
[-4,-2)
[-2,2]
(-2,2)
[2,4]
[2,4)

[4,6]
(4,6)
[6,8]
(6,8)
[8,)
(8,)

Looking at the graph I would say the answer should be:

(4,2]
[2,2]
(2,4)
(4,6]
[6,8]

2. ## Re: From the graph of g, state the intervals on which g is continuous.

With your answer, did you consider where x<0?

3. ## Re: From the graph of g, state the intervals on which g is continuous.

I am sorry, I don't understand.

I am also very confused regarding brackets.

from -4 to -2 it should be (-4,-2] right?
closed dots mean included and open dots mean not included.

However this answer isn't listed so my logic must be wrong.

4. ## Re: From the graph of g, state the intervals on which g is continuous.

Hello, NeoSonata!

From the graph, state the intervals where $f(x)$ is continuous.
Code:
                    |           :
♥           |           :
*         |           :     o
*       |           :       *
o     |          *:*        *
|     o     :     ♥     o
♥     |  *      * : *
|*          :
- - - + - - + - - * - - + -*- + -*- + - - + - -
-4    -2    *|     2 *   4   * 6     8
*  |           :
o     |     ♥     :     o
|           :

Answers to choose from:

. . $\begin{array}{ccccccc} (\text{-}\infty,\text{-}4) & [\text{-}4,\text{-}2] & [\text{-}2,2] & [2,4] & [4,6] & [6,8] & [8,\infty) \\ (\text{-}\infty, \text{-}4] & [\text{-}4,\text{-}2) & (\text{-}2,2) & [2,4) & (4,6) & (6,8) & (8,\infty)\end{array}$

You omitted the minus-signs in your intervals.
And you have the parentheses and brackets reversed.

Note
$[2,5]$ means: from 2 to 5, including the 2 and 5.
$(2,5)$ means: from 2 to 5, not including the 2 and 5.

The correct answer is: . $[\text{-}4,\text{-}2)\;(\text{-}2,2) \;[2,4) \;(4,6)\;(6,8)$