1. Consider the function f(x): = 1 x² 1 (x - 2)² (a) Find all the zeros of f, if any exit. (b) Find all the vertical asymptotes. (c) Find all the horizontal asymptotes.

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. Consider the function f(x):
=
1
1
x² (x - 2)²
(a) Find all the zeros of f, if any exit.
(b) Find all the vertical asymptotes.
(c) Find all the horizontal asymptotes.
(d) Give the intervals where f is increasing and the intervals where f is decreasing.
(e) Give the intervals where f is concave up and the intervals where f is concave
down.
(f) Draw the graph of f and annotate it with the findings from a-e.
Transcribed Image Text:1. Consider the function f(x): = 1 1 x² (x - 2)² (a) Find all the zeros of f, if any exit. (b) Find all the vertical asymptotes. (c) Find all the horizontal asymptotes. (d) Give the intervals where f is increasing and the intervals where f is decreasing. (e) Give the intervals where f is concave up and the intervals where f is concave down. (f) Draw the graph of f and annotate it with the findings from a-e.
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