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Explain what happens to the focusing distance y as the object moves far away from the lens, homework help

Explain what happens to the focusing distance y as the object moves far away from the lens, homework help

Daniel Kevins

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n order for a film camera with a fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a distance y behind the lens. F, y, and x are related as follows

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Now suppose a camera has a lens with focal length F = 65.

Explain what happens to the focusing distance y as the object moves far away from the lens.
Explain what happens to the focusing distance y as the object moves closer and closer to the lens.
In general, why is it not possible to cross a vertical asymptote?

		Domain: all real numbers x except x=6
		Domain: all real numbers x except x=8
		Domain: all real numbers x except x = -8
		Domain: all real numbers x
		Domain: all real numbers x except x = -6

		Domain: all real numbers x except x = 7
		Domain: all real numbers x except x = ±49
		Domain: all real numbers x except x = ±8
		Domain: all real numbers x except x = -7
		Domain: all real numbers x except x = ±7

		Domain of f: all real numbers x except x = -6Domain of g: all real numbers x
		Domain of f: all real numbers x except x = ±6Domain of g: all real numbers x
		Domain of f: all real numbers x except x = ±36Domain of g: all real numbers x except x=6
		Domain of f: all real numbers x except x = 6Domain of g: all real numbers x
		Domain of f: all real numbers x except x = ±6Domain of g: all real numbers x except x=6

		all real numbers except x = -9
		all real numbers except x = 81
		all real numbers except x = 9
		all real numbers except x = 9 and x = -9
		all real number

		Domain: all real numbers x except x = 2Vertical asymptote: x = 2Horizontal asymptote: y = -1
		Domain: all real numbers xVertical asymptote: x = -2Horizontal asymptote: y = 0
		Domain: all real numbers x except x = 0Vertical asymptote: x = 0Horizontal asymptote: y = -1
		Domain: all real numbers x except x = 2Vertical asymptote: x = 0Horizontal asympotote: y = -2
		Domain: all real numbers x except x = -2Vertical asympotote: x = 0Horizontal asympotote: y = 2

		Domain: all real numbers x except x = 0Vertical asympotote: x = 0Horizontal asympotote: y = -2
		Domain: all real numbers x except x = -6Vertical asympotote: x = -6Horizontal asympotote: No horizontal asymptote
		Domain: all real numbers x except x = 6Vertical asympotote: x = 6Horizontal asympotote: No horizontal asympotote
		Domain: all real numbers x except x = 6Vertical asympotote: x = 6Horizontal asymptote: y = 2
		Domain: all real numbers xVertical asymptote: x = -6Horizontal asymptote: y = 0

		Domain: all real numbers xVertical asympotote: No vertical asymptoteHorizontal asymptote: y = 9
		Domain: all real numbers x except x = 0Vertical asymptote: x = 0Horizontal asymptote: y = -8
		Domain: all real numbers xVertical asymptote: x = -9Horizontal asymptote: y = 0
		Domain: all real numbers x except x = 9Vertical asymptote: No vertical asymptoteHorizontal asymptote: No horizontal asymptote
		Domain: all real numbers x except x = 9Vertical asymptote: x = 9Horizontal asymptote: y = 8

		∞
		-3
		2
		-1
		0

		x+6; Vertical asymptote: none
		x-6; Vertical asymptote: x=6
		x-6; Vertical asymptote: none
		x-36; Vertical asymptote: x=6
		x-36; Vertical asymptote: no

		x+3; Vertical asymptote: x = -3
		x; Vertical asymptote: none
		x; Vertical asymptote; x = -3
		x – 3; Vertical asympotote: none
		x²; Vertical asympotote: none

		3
		-3
		4
		-4
		-3.6

		The domain is all real numbers x except x = ±2. There is a vertical asymptote at x = -2, and a horizontal asymptote at y = 0.
		The domain is all real numbers x except x = ±2. There is a vertical asymptote at x = -4, and a horizontal asymptote at y = 0.
		The domain is all real numbers x except x = ±4. There is a vertical asymptote at x = -4, and a horizontal asymptote at y = 0.
		The domain is all real numbers x except x = ±2. There is a vertical asymptote at x = 2, and a horizontal asymptote at y = 0.
		The domain is all real numbers x except x = ±4. There is a vertical asymptote at x = -2, and a horizontal asymptote at y = 0.

		horizontal: y = 5; vertical: x = 0
		horizontal: y = 1; vertical: x = -5
		horizontal: y=1; vertical: x=1 and x = -5
		horizontal: y = -1; vertical: x = -5
		horizontal: y = 0; vertical: none

		horizontal: x = -2; vertical: y = 3 and y = -3
		horizontal: y = 2; vertical: x = 3 and x = -3
		horizontal: y = -3; vertical: x = 2
		horizontal: y = 2; vertical: x = 3
		horizontal: x = 3 and x = -3; vertical: y = -2

		x²; Vertical asymptote: x = 0
		x-1: Vertical asymptote: none
		x: Vertical asymptote: x=0
		x:Vertical asymptote: none
		¹/_x: Vertical asymptote: x=0

		y-intercept: (0,-¹/₄)
		y-intercept: (0,¹/₄)
		y-intercept: (0,4)
		y-intercept: (4,0)
		y-intercept: (0,-4)

		x-intercepts: (±3,0)
		no intercepts
		x-intercepts: (-3,0)
		x-intercepts: (0,0)
		x-intercepts: (3,0)

According to this model, would it be possible to remove 100% of the pollutants?

		No. The function is undefined at P = 100.
		Ye

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Daniel Kevins

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