#End behavior an exponential function

19 messages · Page 1 of 1 (latest)

barren kite
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What does it mean when it says y approaches -5^+?

pine plazaBOT
barren kite
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i understand why it approaches -5 but what is the + for and when are you supposed to use ot

pastel furnace
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the direction that the limit is coming from

acoustic elbow
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means from the right side

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because the right side is positive and the left side is negative

barren kite
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So i graphed the function and it shows this

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so if x approaches -inf and there is an asymptote then y approaches the asymptote and you raise it to +?

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Now ive graphed the same thing except reflected it across the y axis so does that mean when x approaches infinity y approaches 5^- because its coming from the left side

pastel furnace
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you're not raising it to +, the + is just notation meaning that the limit is coming from the positive direction

pastel furnace
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I usually see the direction attached to the function input x instead of y though

barren kite
pastel furnace
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in terms of the value the + or - is attached to so I'd expect the y-> -5+ to mean y approaches -5 from the positive direction

barren kite
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so y values?

pastel furnace
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it depends on what the + or - is attached to

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if it said x-> -5^+ I would read it as x approaches -5 from the positive direction (the right)

barren kite
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so if the + or - is attached to the y then its in terms of y and if the + or - is attached to the x then it is in terms of x?