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Suppose that f(x)=6/x^2−25. (A) List all critical numbers of f. If there are no critical numbers,...

Suppose that f(x)=6/x^2−25. (A) List all critical numbers of f. If there are no critical numbers, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'Inf' for ∞, '-Inf' for −∞, and use 'U' for the union symbol. (C) Use interval notation to indicate where f(x) is decreasing. (D)List the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. (E) List the x-coordinates of all local minima of f. If there are no local minima, enter 'NONE'. (F) Use interval notation to indicate where f(x) is concave up. (G) Use interval notation to indicate where f(x) is concave down. (H) List the x values all inflection points of f. If there are no inflection points, enter 'NONE'. (I) List all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. (J) List all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'.

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