For the following functions, think about "How to graph like a math teacher."
Math teachers want to sketch graphs quickly and efficiently and choose
values of x that work "nicely" in the equation and generate integer
values of y, thus making it easier to graph.

- Which points are best found by inspection?
- Which points are best found by substitution?
- Which points are best found by symmetry?

$y = \sqrt{x+2}$

$y = \sqrt{1-x}$

$y = \sqrt[3]{2x+1}$

What are your favorite examples of this?

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