Which of the following define a 1-1 correspondence? 1. f(x) = e" from (-, 00) to (-00, 0) 2. f(x) = cos(x) from [0, 1] to [–1, 1). %3D • f(x) = from (-∞,0] to (0, 1]. • f(x) = from (-0, 0) to (0, 1). • f(x) = from (-∞, 0] to [0, 1). Hint: Show that f is onto by showing there is an element y in [0, 1] that has no corresponding element x in (-00, 0] such that f(x) = y? what might that y be? 3. 1+a
Which of the following define a 1-1 correspondence? 1. f(x) = e" from (-, 00) to (-00, 0) 2. f(x) = cos(x) from [0, 1] to [–1, 1). %3D • f(x) = from (-∞,0] to (0, 1]. • f(x) = from (-0, 0) to (0, 1). • f(x) = from (-∞, 0] to [0, 1). Hint: Show that f is onto by showing there is an element y in [0, 1] that has no corresponding element x in (-00, 0] such that f(x) = y? what might that y be? 3. 1+a
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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![Which of the following define a 1-1 correspondence?
1. f(x) = e" from (-0, 0) to (–∞0, 0)
2. f(x) = cos(x) from [0, T] to [-1, 1].
3.
• f(x) =
from (-00, 0] to (0, 1].
1+x2
f(x) :
from (-00, 0) to (0, 1].
%3D
• f(x) = from (-x, 0] to [0, 1]. Hint: Show that f is onto by showing there is an
element y in [0, 1] that has no corresponding element x in (-o, 0] such that f(x) = y?
what might that y be?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbb66fa7-7c22-4982-a22f-aaed542f65b3%2F304aa66f-0c9f-4a97-9057-fff417b3d800%2Fz8wxfwg_processed.png&w=3840&q=75)
Transcribed Image Text:Which of the following define a 1-1 correspondence?
1. f(x) = e" from (-0, 0) to (–∞0, 0)
2. f(x) = cos(x) from [0, T] to [-1, 1].
3.
• f(x) =
from (-00, 0] to (0, 1].
1+x2
f(x) :
from (-00, 0) to (0, 1].
%3D
• f(x) = from (-x, 0] to [0, 1]. Hint: Show that f is onto by showing there is an
element y in [0, 1] that has no corresponding element x in (-o, 0] such that f(x) = y?
what might that y be?
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