## College Algebra 7th Edition

$y$ is NOT a function of $x$
Solve for $y$ in terms of $x$ to obtain: $\begin{array}{ccc} &2x+|y| &= &0 \\&2x+|y| - 2x &= &0-2x \\&|y| &= &-2x \end{array}$ RECALL: $|x|=a \longrightarrow x = a \text{ or } x = -a$ Use the definition of absolute value to obtain: $|y| = -2x \longrightarrow y = -2x \text{ or } y = 2x$ This means that for every value of $x$, there corresponds two different values of $y$. Thus, the given equation does not represent $y$ as a function of $x$.