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Mathematics 22 Online
OpenStudy (anonymous):

help please

OpenStudy (anonymous):

yes your correct

OpenStudy (anonymous):

i can check all the other ones too!

OpenStudy (anonymous):

perfect! let me post them now

OpenStudy (anonymous):

okay!!

OpenStudy (anonymous):

do them one at a time though

OpenStudy (anonymous):

I always get confused with the domain and the range

OpenStudy (anonymous):

this site right here is the best site in the world! http://www.regentsprep.org/Regents/math/algtrig/ATP5/DomainRange.htm Check it out and tag me when your done so I can help you!

OpenStudy (anonymous):

Is the domain the set of all real numbers?

OpenStudy (anonymous):

@claritamontano

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

yes, the domain is the set of all real numbers

jimthompson5910 (jim_thompson5910):

any x value works as the input

jimthompson5910 (jim_thompson5910):

so that rules out C

OpenStudy (anonymous):

and is the range also the set of all real numbers?

OpenStudy (anonymous):

okay im here

OpenStudy (anonymous):

are my answers correct for the second question?

jimthompson5910 (jim_thompson5910):

the range is also the set of real numbers (any y value is possible for the output)

OpenStudy (anonymous):

yeah that seems to look right

OpenStudy (anonymous):

next question!

jimthompson5910 (jim_thompson5910):

agreed

jimthompson5910 (jim_thompson5910):

f(0) is not 10

jimthompson5910 (jim_thompson5910):

locate 0 in the x row then look directly below, you'll see 3

jimthompson5910 (jim_thompson5910):

that means f(0) = 3

jimthompson5910 (jim_thompson5910):

and we don't know enough about the function to make a very sweeping claim that the range is the set of all real numbers

jimthompson5910 (jim_thompson5910):

good

OpenStudy (anonymous):

i agree with that.

jimthompson5910 (jim_thompson5910):

same

OpenStudy (anonymous):

no this is not a function,

jimthompson5910 (jim_thompson5910):

when x = 3, what is the value of y?

OpenStudy (anonymous):

because, there has to be one x value for a y value and here x equals many y values

OpenStudy (anonymous):

also if it doesnt pass the vertical line test then it cant be a function.

OpenStudy (anonymous):

do you know what the vertical line test is??

jimthompson5910 (jim_thompson5910):

much better

OpenStudy (anonymous):

good job!

OpenStudy (anonymous):

I think is right!!

OpenStudy (anonymous):

yup i agree!

OpenStudy (anonymous):

i got 24

jimthompson5910 (jim_thompson5910):

23 is correct f(x) = 2x^2+5*sqrt(x-2) f(3) = 2(3)^2+5*sqrt(3-2) f(3) = 2(3)^2+5*sqrt(1) f(3) = 2(3)^2+5*1 f(3) = 2*9+5*1 f(3) = 18 + 5 f(3) = 23

OpenStudy (anonymous):

correct!

OpenStudy (anonymous):

idk about this one...@jim_thompson5910

OpenStudy (anonymous):

i think its right but i want you to get a second opinion

OpenStudy (anonymous):

@jim_thompson5910 what do you think?

jimthompson5910 (jim_thompson5910):

you are correct

jimthompson5910 (jim_thompson5910):

any number greater than -2 or -2 itself works in the domain

OpenStudy (anonymous):

Thank you both so much!

OpenStudy (anonymous):

your welcome!

OpenStudy (anonymous):

I'm unsure of how I should distribute the medals

OpenStudy (anonymous):

hah give them to jim! its okay!

OpenStudy (anonymous):

@jim_thompson5910 would you mind giving one to @claritamontano ?

OpenStudy (anonymous):

you are so sweet its okay medals dont matter to me i like helping people. :)

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