I'm in Calculus AB and we are currently exploring the rules of derivatives. One function that they give, represented in the transcript of the lesson as $\displaystyle y = \sqrt[3]{x^2} + 1$ is first depicted in the attachment.

What the transcript gives and what the image shows are two different formats; what exactly does the format shown on the image signify and how do I plot this on my TI-83 graphing calculator?

Thanks in advance.