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OpenStudy (anonymous):
OpenStudy (anonymous):
Can anyone help me with this?
OpenStudy (michele_laino):
please use this formula:
\[y = Ax + B\]
furthermore, note that your line passes at points (-2,0) and (0,2)
OpenStudy (anonymous):
The possible answers are
A. x ≤ 3
B. x ≥ 3
C. x ≤ −3
D. x ≥ −3
OpenStudy (anonymous):
I dont understand how I find the answer
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OpenStudy (michele_laino):
Please can you write the text of your problem?
OpenStudy (anonymous):
What do you mean?
OpenStudy (michele_laino):
I mean the text of your exercise on your textbook
OpenStudy (michele_laino):
I'm sorry I see it
OpenStudy (anonymous):
it is about domain range and function
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OpenStudy (anonymous):
ok
OpenStudy (michele_laino):
the domain of a function are all possible values of the independent x-variable, for which our function is defined
OpenStudy (michele_laino):
more precisely the domain of a function is the set of all possible values of the x-variable
OpenStudy (anonymous):
okay
OpenStudy (michele_laino):
so, for what values of the x-variable your function is defined?
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OpenStudy (anonymous):
-2?
OpenStudy (anonymous):
-2 and 2?
OpenStudy (michele_laino):
no, because also at x=-3 your function is defined
OpenStudy (michele_laino):
furthermore also at x= 4, 5, 6... your function is defined
OpenStudy (michele_laino):
hint:
at x= -4 is your function defined?
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OpenStudy (anonymous):
no?
OpenStudy (anonymous):
so x is greater than 3?
OpenStudy (michele_laino):
so x greater or equal than -3
OpenStudy (michele_laino):
since at x=-3 the value of your function is -1
OpenStudy (anonymous):
so my answer would be x>-3?
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OpenStudy (michele_laino):
not exactly, please retry
OpenStudy (anonymous):
less than -3?
OpenStudy (michele_laino):
no, since for all x such that x< -3 your function is not defined
OpenStudy (michele_laino):
or in other words, for all x such that x< -3 your function doesn't exist
OpenStudy (anonymous):
so would you take away the negative?
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OpenStudy (anonymous):
sorry, I am confused
OpenStudy (michele_laino):
don't worry,
please note that, we have established that:
1) for all x such that x< -3 your function doesn't exist
2) at x= -3, your function does exist, and its value is -1
3) your function also does exist for all x such that x is Greater or equal than -3
so what is your answer?
OpenStudy (anonymous):
x>3?
OpenStudy (michele_laino):
and at x= -3 your function does exist?
OpenStudy (anonymous):
Yes
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OpenStudy (michele_laino):
then, what is your answer?
OpenStudy (anonymous):
my answer wouldnt be x>3?
OpenStudy (anonymous):
x<3?
OpenStudy (michele_laino):
I think that your function does exist at x = -3 and does not exist for all x such that
x <-3
OpenStudy (anonymous):
My possible answers are A. x ≤ 3 B. x ≥ 3 C. x ≤ −3 D. x ≥ −3
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OpenStudy (michele_laino):
whereas your function does exist for allx such that x x>3