Consider the function f(x)=x/(x+1). Select all that apply. Select 4 correct answer(s) f has a horizontal asymptote at y=1. f has a horizontal asymptote at y=-1. f has a vertical asymptote at x=1. f has a vertical asymptote at x=-1. The limit of f(x) as x approaches infinity is 1. The limit of f(x) as x approaches infinity is -1. The limit of f(x) as x approaches negative infinity is 1. The limit of f(x) as x approaches negative infinity is -1.

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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Consider the function f(x)=x/(x+1).
Select all that apply.
Select 4 correct answer(s)
f has a horizontal asymptote at y=1.
f has a horizontal asymptote at y=-1.
f has a vertical asymptote at x=1.
f has a vertical asymptote at x=-1.
The limit of f(x) as x approaches infinity is 1.
The limit of f(x) as x approaches infinity is -1.
The limit of f(x) as x approaches negative infinity is 1.
The limit of f(x) as x approaches negative infinity is -1.
Transcribed Image Text:Consider the function f(x)=x/(x+1). Select all that apply. Select 4 correct answer(s) f has a horizontal asymptote at y=1. f has a horizontal asymptote at y=-1. f has a vertical asymptote at x=1. f has a vertical asymptote at x=-1. The limit of f(x) as x approaches infinity is 1. The limit of f(x) as x approaches infinity is -1. The limit of f(x) as x approaches negative infinity is 1. The limit of f(x) as x approaches negative infinity is -1.
The perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum
area is square feet when its length and width are both 5 feet. Are there dimensions
that yield a minimum area?
Yes, the length would be 3 ft and width 7 ft.
Yes, the length would be 1 ft and width 9 ft.
Yes, the length would be 4 ft and width 6 ft.
No, there are no dimensions that would produce an absolute minimum area.
Transcribed Image Text:The perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is square feet when its length and width are both 5 feet. Are there dimensions that yield a minimum area? Yes, the length would be 3 ft and width 7 ft. Yes, the length would be 1 ft and width 9 ft. Yes, the length would be 4 ft and width 6 ft. No, there are no dimensions that would produce an absolute minimum area.
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