A graphing calculator is recommended. For a camera with a lens of 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, where F, x, and y are related by 1.1 (See the figure.) Suppose the camera has a 55-mm lens (F= 55). (a) Express y as a function of x. y = Graph the function. y -50 -100 -150 -200 O-250! y 250 200 150 100 O 50 200 200 400 400 600 600 X 800 1000 800 1000 -50 -100 -150 -200 y O-250 y 250+ 200 150 100 O 50 200 200 400 400 600 600 800 100 800 100

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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I added two pictures because one is kind off cut off
graphing calculator is recommended.
ra camera with a lens of fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a
tance y behind the lens, where F, x, and y are related by
1+1-1
xy
be the figure.) Suppose the camera has a 55-mm lens (F= 55).
(a) Express y as a function of x.
y=
Graph the function.
y
y→
-50
-100
-150
-200
O-250
y
250
200
150
100
O
50
200 400
200
400
600
mm
600
800 1000
800 1000
-50
-100
-150
-200
O-250
y
250
y
200
150
O
100
50
(b) What happens to the focusing distance y as the object moves far away from the lens?
mm
(c) What happens to the focusing distance y as the object moves close to the lens?
y→
200 400 600
200
400
600
800 1000
800 1000
Transcribed Image Text:graphing calculator is recommended. ra camera with a lens of fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a tance y behind the lens, where F, x, and y are related by 1+1-1 xy be the figure.) Suppose the camera has a 55-mm lens (F= 55). (a) Express y as a function of x. y= Graph the function. y y→ -50 -100 -150 -200 O-250 y 250 200 150 100 O 50 200 400 200 400 600 mm 600 800 1000 800 1000 -50 -100 -150 -200 O-250 y 250 y 200 150 O 100 50 (b) What happens to the focusing distance y as the object moves far away from the lens? mm (c) What happens to the focusing distance y as the object moves close to the lens? y→ 200 400 600 200 400 600 800 1000 800 1000
A graphing calculator is recommended.
For a camera with a lens of 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, where F, x, and y are related by
1.1.1
X y
(See the figure.) Suppose the camera has a 55-mm lens (F = 55).
(a) Express y as a function of x.
y =
Graph the function.
y
y→
-50
-100
y →
-150
-200
O-250
y
250H
200
150
100
50
200
200
mm
400
400
mm
600
F→
800
X
1000
X
600 800 1000
-50
-100
-150
-200
y
O-250
y
250
200
150
100
50
(b) What happens to the focusing distance y as the object moves far away from the lens?
(c) What happens to the focusing distance y as the object moves close to the lens?
200 400 600
200
400
600
800 100
800
100
Transcribed Image Text:A graphing calculator is recommended. For a camera with a lens of 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, where F, x, and y are related by 1.1.1 X y (See the figure.) Suppose the camera has a 55-mm lens (F = 55). (a) Express y as a function of x. y = Graph the function. y y→ -50 -100 y → -150 -200 O-250 y 250H 200 150 100 50 200 200 mm 400 400 mm 600 F→ 800 X 1000 X 600 800 1000 -50 -100 -150 -200 y O-250 y 250 200 150 100 50 (b) What happens to the focusing distance y as the object moves far away from the lens? (c) What happens to the focusing distance y as the object moves close to the lens? 200 400 600 200 400 600 800 100 800 100
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