one more for today

[locomocoso]

i have the function y=zigzag(x) with the points, (-2,0), (-1,1), (1,1), and (2,0). i need to find where the y values are increasing and decreasing with respect to the x values. i have not been able to understand this. it seems like the y values increase from -1<x<1 and would decrease in 2 areas. -2<x<-1 and 1<x<2. does this make sense? at all?

 

[stapel]

Please define "zigzag(x)". When you reply, please provide the relationship of the points to the function. Also, it sounds as though there may be a picture involved in this exercise. If so, please post it, or include a detailed description.

Thank you.

Eliz.

 

[soroban]

Hello, locomocoso!

Did you make a sketch?

i have the function y=zigzag(x), with the points, (-2,0), (-1,1), (1,1), and (2,0).
i need to find where the y values are increasing and decreasing with respect to the x values.

                  |
              o---+---o
            /     |     \
      - - o - + - + - + - o - -
. . . . .-2 .-1 . 0 . 1 . 2

I looks like it's increasing on the interval [-2,-1]
. . and decreasing on the interval [1,2].

With no additional information, I assume it 'stays leve'l on [-1, 1].

 

[locomocoso]

sorry, i gave a wrong point. it was (-1,-1) and also passes through (0,0). i figured it out but thank you very much. i really appreciate your help.


i don't know how to draw it on here. i tried but it didn't
come out right when i previewed it. again, thank you
very much. i will definitley be returning to this site.