Question

please help

https://us-static.z-dn.net/files/d21/e6c22192500ce1607c354186cd7ee421.png

the question is on the image

Answer 1

So interval notation is with ( and [ where ( is exclusive and [ is inclusive.
Like (1,2) is between 1 and 2 exclusive. [1,2] is between 1 and 2 inclusive. (1,2] is between 1 and 2, 1 exclusive 2 inclusive.

Answer 2

So where are the values on the graph positive?

Answer 3

arent they both?

Answer 4

Well, at the point (6,0) you see that the graph goes from above 0 to below 0 (from positive to negative)

Answer 5

so 6,0 is the negative?

Answer 6

no no here (6,0) is the point.
The values are positive when x is less than 6 and negative when x is greater than 6.

Answer 7

ah, so 0,3 is the negative right

Answer 8

No here (0,3) is also a point

Answer 9

you can use -infinity and +infinity here

Answer 10

sorry im confused i dont know how to do this

Answer 11

It's okay
so the positive interval is
(-infinity, 6)
and with inifinity you always use exclusive

It's that because everything from all the way to the left (-infinity) to 6, is above the x-axis, which means it's positive

Answer 12

using this logic can you do the negative interval?

Answer 13

ah i think i see now thank you

Answer 14

Great

Answer 15

good job