f(x)=abs(x+2)+abs(x-1)-2 will this graph have a minimum? it decreases and remains constant for a small interval can I say these are minimums if they are in a consecutive line?
Thank you
Hello, IDontunderstand!
I say Yes . . .$\displaystyle f(x)\:=\:|x+2|+ |x-1|-2$
Will this graph have a minimum?
It decreases and remains constant for a small interval . . . . then increases.
Can I say these are minimums if they are in a consecutive line?
The graph looks something like this:
Code:| * | * * | * * | * * 1| * * * * * * | - - - + - + - + - - - - -1 | 1 |
The graph has a minimum value: .$\displaystyle f(x) \,=\,1$
. . which occurs for $\displaystyle |x|\,\leq 1$