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

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1what is the range on f(x)=x+7 ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i think i'm not sure somehow my teacher got ( infinity, 0] and i have no idea what he did

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1what is the range of f(x)=anything ? what values can an absolute value take on?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0im sorry i'm so confused i know the domain is all reals because nothing limits it but i also thought hte range would be like all reals as well yet he gave us a diff answer so im unsure what to do

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1can x be negative?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1so then the range is not all reals, is it? it can't be negative, the least it can be is zero. It can be as big as you want though by putting in larger and larger x. so the range of f(x)=x+7 is [0,infty) , agreed?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well even if x is a negative number wouldnt it not matter because the absolute value makes it postivie?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1right, so that means it \[x\ge0\]like I said, the LEAST it can be is zero. Hence the range is from zero to positive infinity\[[0,\infty)\] So far so good ?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1now what about\[f(x)=x\]if x is always positive, then x is always negative. The MOST it can be is zero. We can make f(x) very negative (as negative as we want in fact) by putting in very large negative or positive x. Hence the range is\[(\infty,0]\](I hope you see that the 7 and 4 change nothing, only the fact that the 4 is negative matters) Make sense now?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes it does thank you so much you're a life saver
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