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Consider the function f:(-oo,oo)to(-oo,o...

Consider the function `f:(-oo,oo)to(-oo,oo)` defined by `f(x)=(x^2-a)/(x^2+a),a >0,` which of the following is not true?(a) maximum value of `f` is not attained even though `f` is bounded. (b)`f(x)` is increasing on `(0,oo)` and has minimum at `x=0` (c)`f(x)` is decreasing on `(-oo,0)` and has minimum at `x=0.` (d)`f(x)` is increasing on `(-oo,oo)` and has neither a local maximum nor a local minimum at `x=0.`

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