Give a function on the interval [-2,+2] ...

Give a function on the interval [-2,+2]
`f(x)={{:(,x^(2)+2,if ,-2 le x lt 0),(,-x^(2)+2, if ,0 le x le 2):}` Is there a point on this closed interval at which f(x)=0?

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Give a function on the interval [-2,+2] f(x)={{:(,x^(2)+2,if ,-2 le ...
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Prove that the function f(x)={{:(,x+1,at ,-1 le x le0),(,-x,at,0 lt x ...
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