Question

math problem

Answer 1

@AZ

Answer 2

similar thing but do you see how we now have one circle that is completely blue and the other one is empty and has a white center?

Answer 3

yep

Answer 4

is it 3, -3 and 3, -3?

Answer 5

so when we have the COLORED full blue circle, that means we use a [ or ] for that side

but for the other side that is EMPTY we have to use a ( or )

Answer 6

that's because the shaded full solid blue tells us to INCLUDE that point so we use this [ or ]

but an empty circle tells us to not include it so we have to use ( or )

Answer 7

so like let's take it one step at a time and I'll show you which one to use where

where does the x-values begin from and end up where?

Answer 8

im not sure

Answer 9

what's the left most x-value and what's the x-value that's all the way to the right

Answer 10

(we're talking about the line)

Answer 11

-6 to 3

Answer 12

Good!!

So we have -6 to 3

now remember -6 is a smaller number than 3

so it would have to be

-6, 3

but now we have to figure out whether we begin it with ( or [

like [-6, 3
or (-6, 3

so does -6 have a full shaded circle or an empty one?

Answer 13

[-6, 3]

Answer 14

be careful!

that 3 has an empty circle
it's white and not a solid blue color

so that means it has to end with )

so it would be

\( \Large [-6, 3) \)

do you understand

Answer 15

oh i see no lol

Answer 16

okay, now what about your range

what is the lowest y-value the graph reaches?

and what is the highest y-value that the graph reaches

Answer 17

[2, -3)

Answer 18

mhmm now quite

what is the lowest y-value that you see in the graph?

and the highest y-value?

Answer 19

im not sure

Answer 20

im really not sure

Answer 21

the range is everything in between the red

it's all the possible y-values of the graph

so what's the highest y-value possible and the lowest one?

Answer 22

[3, -3)

Answer 23

Almost except you switched it!

remember, we want the smaller number first and then the bigger number

and -3 is a smaller number than 3
(since it's negative)

so we have something like
-3, 3

Answer 24

(-3, 3]

Answer 25

now does -3 have a solid blue circle or an empty circle?

and yeah, you got it!!

Answer 26

Well done :)

Answer 27

@AZ

Answer 28

\(\color{#0cbb34}{\text{Originally Posted by}}\) @iuytyuioiuytyuiop
(-3, 3]
\(\color{#0cbb34}{\text{End of Quote}}\)


you mis-typed it in your answer box in the screenshot

Answer 29

you said it correct here- it's (-3, 3]

you accidentally switched it when you were inputting your final answer

Answer 30

thanks

Answer 31

no problem