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I I want to have a function depicted graphically, which is better?

  • Draw a graphic of the function

  • Draw a plot of the function

  • Make a graphic of the function

  • Make a plot of the function

  • Plot a graphic of the function

  • Plot the function

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There are a number of ways to say this that are all acceptable. Each of your example sentences would work, though the noun graph is used, rather than graphic. We also use the verbs "construct" and "sketch" sometimes, as well as the noun "curve" in place of "function."

If I were asking my students to graph points, I would tend to use the word plot; it carries the connotation of more carefully placing the points that are drawn.

If instead I were asking my students to draw the general shape of a curve (as in calculus, when you might know the concavity and slope of a curve but not many of the points) then I would probably tell them to sketch the curve.

You might also just see the sentence, "Graph f(x)."

So in short:
Construct/graph/draw/plot a plot/graph/curve of the function/curve. (Don't "plot a plot" or "graph a graph" though.)

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