1. Given f(x) = x^2 - 1/x (a) Find the domain and x-intercepts. (b) Find all asymptotes. (c) Determine the intervals on which the function is increasing or decreasing. Find the local maximum and minimum, if they exist.

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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1. Given f(x) = x^2 - 1/x
(a) Find the domain and x-intercepts.
(b) Find all asymptotes.
(c) Determine the intervals on which the function is increasing or decreasing. Find the
local maximum and minimum, if they exist.
(d) Determine the intervals on which the function is concave upward or downward. Find
the inflection points, if they exist.
(e) Sketch the graph.
Transcribed Image Text:1. Given f(x) = x^2 - 1/x (a) Find the domain and x-intercepts. (b) Find all asymptotes. (c) Determine the intervals on which the function is increasing or decreasing. Find the local maximum and minimum, if they exist. (d) Determine the intervals on which the function is concave upward or downward. Find the inflection points, if they exist. (e) Sketch the graph.
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