College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises - Page 192: 5


one element Table (i) defines $y$ as a function of $x$, but not table (ii).

Work Step by Step

A function $f$ is a rule that assigns to each element $x$ in a set $A$ exactly ___one___ element called $f(x)$ in a set $B$. Table (i) defines $y$ as a function of $x$ because there are unique $y$ values for each $x$. However, table (ii) does not define a function, because $f(1)$ has two values (5 and 7).
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