Where would it be increasing and decreasing? Interval notation?
Stacey Warren - Expert brainly.com
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Do you remember what the graph of \(\Large y=|x|\) looks like?
|dw:1378498616151:dw|Look familiar maybe? :)
|dw:1378498677051:dw|Our function has a vertical shift applied to it, bringing it down 5 units.
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Right, I did that. So, would the decreasing in interval notation be (-5,infinity) and increasing is (-infinity,5)? And with parentheses or brackets?
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|
`(` 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 +_+
AHH I wrote that backwards!! Sorry!
`(` means EXCLUDE the value.
Mmm yah I think it's the second one. I think we include the zero point.
Lemme check with Mr. SmartyLegoPants real quick.