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2 votes

What should I call the "important" values of x?

Often questions about graph sketching will ask for a sketch showing all relevant points, or in some cases all relevant features. The actual points or features to be shown will vary depending on the ...
  • 131
4 votes

What should I call the "important" values of x?

I've used the term "reference point" or "reference coordinate" when referring to the points on the original function, compared to their transformed locations. I've expected my ...
  • 3,927
5 votes

What should I call the "important" values of x?

For function transformations I use "base point" ($y=a^x$ has base point $(0,1)$, $y = \frac{1}{x}$ has base point $(0,0)$, even though it isn't on the graph). In calculus I use "point ...
  • 3,713
5 votes

What should I call the "important" values of x?

When graphing a function (or just investigating it from some point of view), it is, indeed, useful to look at some special points where the behavior changes in some way. Most of them have well-...
  • 2,404
1 vote

What should I call the "important" values of x?

My advice would not be to strain for a special name like that. Just teach the practice of curve sketching instead (vice inventing a new term, not in the book). f and g are already "important&...

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