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I am trying to use the If so that when the 1st argument is true, it plots a graph of a function and when false, returns 0. I know that the format of an if statement is If[x, TRUE, FALSE], but I don't know how the input works when I want to check the function for x within the If expression so that I can graph that function when it is true.

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This should show you how to do it.

Manipulate[
  If[x, Plot[Sin[2 π t], {t, 0, 1}], 0],
  {x, {True, False}, Setter}]

false

true

Or, perhaps, this will be closer to the answer you are looking for:

With[{x = True}, If[x, Print[Plot[Sin[2 π t], {t, 0, 1}]], 0]]

The above will will show your plot, and this will return zero.

With[{x = False}, If[x, Print[Plot[Sin[2 π t], {t, 0, 1}]], 0]]

In a notebook it looks like this:

notebook

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Plot works with logical statements, for instance

Plot[If[x>0,x^2,0],{x,-10,10}]

Also see Piecewise or Switch instead of nesting Ifs for multiply defined functions.

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  • $\begingroup$ When I try to test the input, it results in an output of the graph even if x is false for some reason. $\endgroup$ – Bob yesterday
  • $\begingroup$ Plot f1(x) between x = -10 and x = +10, where f1(x) = +x2 when x is positive, f1(x) = -50 when x is -2 or smaller, and f1(x) = 0 otherwise $\endgroup$ – Bob yesterday

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