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 (See the figure.) Suppose the camera has a 35-mm lens (F = 35). (a) Express y as a function of x. y= Graph the function. y 250 200- 150- 100 50 -50 -100 -150 -200 200 x 400 600 800 1000 y 250 200- 150 100 50 400 1000 -50 -100- -150- -200 x 200 400 600 800 1000 200 800 0-250 (b) What happens to the focusing distance y as the object moves far away from the lens? y- mm (c) What happens to the focusing distance y as the object moves close to the lens? y→

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...
icon
Related questions
Question
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
(See the figure.) Suppose the camera has a 35-mm lens (F = 35).
(a) Express y as a function of x.
y=
Graph the function.
y
250
200-
150-
100
50
-50
-100
-150
-200
200
x
400
600
800
1000
y
250
200-
150
100
50
400
1000
-50
-100-
-150-
-200
x
200
400
600
800
1000
200
800
0-250
(b) What happens to the focusing distance y as the object moves far away from the lens?
y-
mm
(c) What happens to the focusing distance y as the object moves close to the lens?
y→
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 (See the figure.) Suppose the camera has a 35-mm lens (F = 35). (a) Express y as a function of x. y= Graph the function. y 250 200- 150- 100 50 -50 -100 -150 -200 200 x 400 600 800 1000 y 250 200- 150 100 50 400 1000 -50 -100- -150- -200 x 200 400 600 800 1000 200 800 0-250 (b) What happens to the focusing distance y as the object moves far away from the lens? y- mm (c) What happens to the focusing distance y as the object moves close to the lens? y→
Expert Solution
steps

Step by step

Solved in 1 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning