anonymous
  • anonymous
f(x)=|x|-5 Where would it be increasing and decreasing? Interval notation?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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zepdrix
  • zepdrix
Do you remember what the graph of \(\Large y=|x|\) looks like?
zepdrix
  • zepdrix
|dw:1378498616151:dw|Look familiar maybe? :)
zepdrix
  • zepdrix
|dw:1378498677051:dw|Our function has a vertical shift applied to it, bringing it down 5 units.

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anonymous
  • anonymous
Right, I did that. So, would the decreasing in interval notation be (-5,infinity) and increasing is (-infinity,5)? And with parentheses or brackets?
zepdrix
  • zepdrix
Well if you look at the new function, it looks the point (the x value) where it changes from decreasing to increasing is still x=0, right? The -5 isn't really affecting our intervals. I think they just threw that in to confuse you.|dw:1378498852091:dw|
zepdrix
  • zepdrix
`(` means include this end point. `[` means exclude that value. Try to remember: You ALWAYS put `(` around the infinity "end points". You cannot include the infinite side since it's not an actual value. Since we're dealing with the absolute function, which has a point of discontinuity at x=0, I think we want to exclude that point. Hmm I could be wrong though. Like this:\[\Large (-\infty, 0) \cup(0,\infty)\] Although it might be:\[\Large (-\infty,0]\cup[0,\infty)\]Lemme think about itttt +_+
zepdrix
  • zepdrix
AHH I wrote that backwards!! Sorry! `(` means EXCLUDE the value. `[` included.
zepdrix
  • zepdrix
Mmm yah I think it's the second one. I think we include the zero point. Lemme check with Mr. SmartyLegoPants real quick. @SithsAndGiggles
anonymous
  • anonymous
Okay! @zepdrix

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