Answer
Refer to the graph in the sketch below
Work Step by Step
(a) The part of the graph of $y = \sqrt{|x|}$ with $x ≥ 0$ is the same as the graph of $y = \sqrt x$. The part with $x ≤ 0$ is the reflection of the graph of $y = \sqrt x$ across the $y$-axis.
(b) The part of the graph of $y = \sqrt[3] {|x|}$ with x ≥ 0 is the same as the part of the graph of $y = \sqrt[3] x$ with $x ≥ 0$. The part with $x ≤ 0$ is the reflection of the graph of $y = \sqrt[3] x$ with $x ≥ 0$ across the $y$-axis.
