what would the range be on f(x) = -4 l x+7 l ?

what would the range be on f(x) = -4 l x+7 l ?

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what is the range on
f(x)=|x+7|
?

i think i'm not sure somehow my teacher got (- infinity, 0] and i have no idea what he did

what is the range of f(x)=|anything| ?
what values can an absolute value take on?

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