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Mathematics 24 Online
zarkam21 (zarkam21):

Help please

zarkam21 (zarkam21):

OpenStudy (amorfide):

domain is all of the x values that are contained within the function

OpenStudy (amorfide):

range is all of the y values that can be output

zarkam21 (zarkam21):

would domain be 6

OpenStudy (amorfide):

it looks to me as if the asymptote is at y=5 and y=-4 and so the graph will continue going onto all x values infinitely since it will never get to that y value so the domain should be all real numbers (I believe)

zarkam21 (zarkam21):

Oh okay so for number 11, it should be all real numbers?

OpenStudy (amorfide):

that is what I would put yes :)

OpenStudy (amorfide):

now the range, let's say I had |dw:1479736469710:dw| my range would be all of the y values contained, and as you can see it starts at y=1, and goes to y=5 hence the range would be 1<=y<=5

OpenStudy (amorfide):

try to use the same logic on your question

zarkam21 (zarkam21):

Well wouldn't it be y=2 because 1 is a x value?

OpenStudy (amorfide):

sorry yes

zarkam21 (zarkam21):

I mean y=2** because the set you gave me is 1,2

OpenStudy (amorfide):

hence the range would be 2<=y<=5

OpenStudy (amorfide):

sorry

OpenStudy (amorfide):

so attempt your question

zarkam21 (zarkam21):

So would it be 3<=y<=8

OpenStudy (amorfide):

correct :)

zarkam21 (zarkam21):

how would I write that, are those signs less than or equal to??

zarkam21 (zarkam21):

I don't know how I would write that on paper

zarkam21 (zarkam21):

@amorfide

OpenStudy (mathmate):

@zarkam21 have you used intervals before? For example, \((-\infty, +\infty)\) is the same as R, and \(x\in [3,6)\) means \(3\le x<6\) and so on? Intervals would be useful for expressing domains and ranges. You can also read the following for more information: https://www.mathsisfun.com/sets/intervals.html

zarkam21 (zarkam21):

So would it be (3,8)

zarkam21 (zarkam21):

[3,8]

zarkam21 (zarkam21):

@amorfide

OpenStudy (amorfide):

square brackets mean it can be equal to it so for the range, [3,8] means 3<=y<=8 and yes that means less than or equal to

OpenStudy (amorfide):

circular brackets mean it can not be equal to it so (3,8) means 3<y<8 [3,8) the square at the start means it can be equal to 3 but the circular bracket means it can not be equal to 8 3<=y<8 so since your question is 3<=y<=8 you would have two square brackets

zarkam21 (zarkam21):

So just simply [3,8]

OpenStudy (amorfide):

Range : [3,8]

OpenStudy (amorfide):

correct :)

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