Mathematics
22 Online
OpenStudy (anonymous):
help please
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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
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OpenStudy (anonymous):
I always get confused with the domain and the range
OpenStudy (anonymous):
Is the domain the set of all real numbers?
OpenStudy (anonymous):
@claritamontano
OpenStudy (anonymous):
@jim_thompson5910
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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
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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
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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
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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
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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!!
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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
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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!
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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. :)