what is the turning point of the graph of f(x) = /x - 2/ + 3

Question

tkhunny · Answer

What say you?  Where might it exhibit unusual behavior?

bananas1234 · Answer

sorry what? @tkhunny

tkhunny · Answer

Answer the question.  Does it exhibit unusual behavior around x = 5?  Does it exhibit unusual behavior around x = -7?  Does it exhibit unusual behavior around x = 0?

bananas1234 · Answer

im not exactly sure. @tkhunny

tkhunny · Answer

What class are you in?  Is this for calculus?

bananas1234 · Answer

algebra

tkhunny · Answer

What does Absolute Value do?

bananas1234 · Answer

if its negative turns it to positive

tkhunny · Answer

...and it does nothing to positive values.

tkhunny · Answer

Where is x - 2 negative?  Where is x - 2 positive?  This answers the question.

bananas1234 · Answer

how do i find it? 3,2?

bananas1234 · Answer

actually i think it would be -3, 2 @tkhunny

tkhunny · Answer

You're not shwoing your work, so it is impossible to comment on what you are doing.

x - 2 < 0
x < 2

x - 2 is less than zero everywhere x < 2.
x - 2 is greater than zero everywhere x > 2.
x - 2 is zero when x = 2

This answers your question.  Where does it exhibit unusual behavior?  How about right around where the absolute values start messing with it?  x = 2

mathmale · Answer

Have you tried graphing this function?  
Have you looked up "turning point" in your algebra book to ensure you know precisely what you're looking for in this problem?