1. Assume that the function f: A → B, where A = {1,2,3,4} and B = {0,2,5, -10,17} such that f(1) = 2,f(2)=-10, f(3) = 5,f(4) = 0. Find the following: a) Domain f) b) Co-domain g) Is f on-to? h) c) Range d) Image of 3 e) Pre-image of 2 Is f one-one? Is f one-one corresponding, if so, find the inverse?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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1. Assume that the function f: A → B, where A = {1,2,3,4} and B = {0,2,5,10,17} such that
f(1) = 2, f(2)= -10, f(3) = 5, f(4) = 0. Find the following:
a) Domain
b) Co-domain
c) Range
d) Image of 3
e) Pre-image of 2
f)
g)
h)
Is f one-one?
Is f on-to?
Is f one-one corresponding, if so,
find the inverse?
Transcribed Image Text:1. Assume that the function f: A → B, where A = {1,2,3,4} and B = {0,2,5,10,17} such that f(1) = 2, f(2)= -10, f(3) = 5, f(4) = 0. Find the following: a) Domain b) Co-domain c) Range d) Image of 3 e) Pre-image of 2 f) g) h) Is f one-one? Is f on-to? Is f one-one corresponding, if so, find the inverse?
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