3. Assume f:{-3,0, 2, 11}{-11,0, 3, 5, 19} be a function given by f(-3) = 0, f(0) = -11,ƒ(2) = 5,ƒ(11) = 19. Determine the following: a) Domain f) b) Co-domain c) Range d) Image of 3 e) Pre-image of 2 g) h) Is f one-one? Is f on-to? Is f one-one corresponding, if so, find the inverse?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Assume f:{-3, 0, 2, 11} → {-11, 0, 3, 5, 19} be a function given by f(-3) = 0,
f(0) = -11,f(2)= 5, f(11) = 19. Determine the following:
a) Domain
f)
b) Co-domain
g)
h)
c)
Range
d) Image of 3
e) Pre-image of 2
Is f one-one?
Is f on-to?
Is f one-one corresponding, if so,
find the inverse?
Transcribed Image Text:3. Assume f:{-3, 0, 2, 11} → {-11, 0, 3, 5, 19} be a function given by f(-3) = 0, f(0) = -11,f(2)= 5, f(11) = 19. Determine the following: a) Domain f) b) Co-domain g) h) c) Range d) Image of 3 e) Pre-image of 2 Is f one-one? Is f on-to? Is f one-one corresponding, if so, find the inverse?
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