Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.1 - Functions - Exercises: 6


(a) Yes (b) No

Work Step by Step

(a) Yes it is possible for $f(1)=5$ and $f(2)=5$ since every element of $x$ is assigned to exactly one element in a set $B$ which can also be called $f(x)$. (b) No it is not possible for $f(1)=5$ and $f(1)=6$ because the element $1$ in a set $A$ is assigned to two elements in a set $B$ hence defies the definition of a function.
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