The range of the function y = f(x) = |x + 2| + 3 is
A) y ≥ 2
B) y ≤ –3
C) y ≥ 3
D) y ≤ 3
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OpenStudy (hba):
@kropot72
OpenStudy (hba):
A is the answer ?
OpenStudy (hba):
I think i need an explanation.
OpenStudy (anonymous):
do you know how the graph of y=|x| looks like?
OpenStudy (anonymous):
its parent function ?
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OpenStudy (hba):
yeah i do.
OpenStudy (anonymous):
so you know the transfomation involved to graph f(x) then.... what are the transformations?
OpenStudy (hba):
Actually it has been almost 2 years i studied this so i am not very sure on how to do this ?
OpenStudy (kropot72):
A is not the answer. Please follow dpalnc.
OpenStudy (anonymous):
your function f(x) is just a translation of the graph of y=|x| two units to the left, and three units up...
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OpenStudy (hba):
|dw:1352970089655:dw|
OpenStudy (anonymous):
ok... that's a graph of y=|x|... what is the range here?
OpenStudy (hba):
{-10,10}
OpenStudy (anonymous):
no... the range of a function refers to all the possible y-values on the graph of f.