(x2-4)/(x2-16) (a) Find domain of f(x). (b) Find asymptotes of f(x). (c) Determine if f(x) is even or odd or none of them.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(x2-4)/(x2-16)

(a) Find domain of f(x).

(b) Find asymptotes of f(x).

(c) Determine if f(x) is even or odd or none of them.

(d) Find interception points with the x-axis and y-axis (if any).

(e) Find critical points, intervals where f(x) is increasing or decreasing.

(f) Find inflection points and intervals of concavity.

(g) Find local and absolute extremums.

(h) Sketch the graph of f, labeling the axis, local/abs extremums, intercepts, asymptotes, etc.

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