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There are multiple x values then, x=-2.5; x=-1.5; x=-0.5; x=0.5; x=1.5;x=2.5

in the interval -3 to 3

So, you will have a range of values and not just one value in the solution

x={-2.5,-1.5,-0.5,0.5,1.5,2.5}

It is possible to see it

Is there any point on the curve where , on drawing a straight line, you get a horizontal line ?

I can't see it, no. The x-axis itself?

|dw:1365268526951:dw|
This is one example

Are there two horizontal tangents then? Going through the points of the curvatures?

No, every point of curvature has its own tangent

So the solutionset is {-3,-2,-1,0,1,2,3} then ?

yes, that looks right

Great! What about the local maximum and minimum, there seems to be muliple max and mins too?

The interval is -3 to 3, like the graph shows

|dw:1365269863585:dw|

A,B and C are the local maxima but out of these, B is the global maxima

Sure i understand , so the local maximas are at -3, -1, 1 and 3 and the local mins are -2,0,2

That seems right

Then correct solution should be -1 and 1

Ok, that makes sense :)

Thanks you so much for your help, really appreciate it!

no problem