x² Consider the function f(x) = x² –1 (a) Find the intercepts of the graph of f (if any). (b) Find the intervals on which f is increasing or decreasing and the local extreme values of f. (c) Find the intervals of concavity and the points of inflection of f. (d) Sketch the graph of f.

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A: Given :

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A: Partially Differentiate with respect to y

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A: As per the guidelines I can solve only first question

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A: We will evaluate the integral.

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A: limx→1 4xx+1The function is defined at x=1.limx→1 4(1)(1)+1limx→1 41+1limx→1 42=2