f(x)=|x|-5
Where would it be increasing and decreasing? Interval notation?

Question

f(x)=|x|-5
Where would it be increasing and decreasing? Interval notation?

zepdrix · Answer

Do you remember what the graph of $\Large y=|x|$ looks like?

zepdrix · Answer

|dw:1378498616151:dw|Look familiar maybe? :)

zepdrix · Answer

|dw:1378498677051:dw|Our function has a vertical shift applied to it, bringing it down 5 units.

anonymous · Answer

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 · Answer

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|