Answer
Yes
Work Step by Step
This equation is a function because each unique value corresponds to one output value.
We can write $y$ as a function of $x$ as follows.
$(y+3)^3=2x-1$
$y+3=\sqrt[3]{2x-1}$
$y=\sqrt[3]{2x-1}-3$
From the graph, we can see it passes the vertical line test.
