What is the effect of f(x-ct) on the function f(x)=3?

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Discussion Overview

The discussion centers on the effect of the transformation f(x-ct) on the constant function f(x) = 3. Participants explore the implications of this transformation in the context of the function's behavior across all real numbers.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • Some participants assert that f(x) = 3 remains constant for all real numbers, suggesting that the graph of this function is a straight line.
  • There is a clarification regarding the interpretation of "f(x) = 3," with some participants emphasizing that it implies the function equals 3 for all x.
  • One participant notes that the transformation f(x-ct) translates the function to the right by ct, although the implications of this translation on the constant value are not fully explored.

Areas of Agreement / Disagreement

Participants generally agree that f(x) = 3 holds for all x, but there is some ambiguity regarding the interpretation of the transformation f(x-ct) and its effect on the function.

Contextual Notes

The discussion does not resolve how the transformation affects the constant value of the function, leaving some assumptions about the nature of translations and constant functions unaddressed.

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the answer is still 3

if u graph f(x) = 3 you get a straight line
so f(x) = 3 for all real numbers
 
thank you
 
By "f(x) = 3", do you mean "f(x) = 3 for all x"?
 
he probably meant f(x) = 3 for all x
otherwise it would've been f(a) = 3...
 
dx said:
By "f(x) = 3", do you mean "f(x) = 3 for all x"?
Assuming he wrote it correctly, that's all it could mean!
 
In case you come across a similar problem, f(x-ct) translates f(x) to the right by ct.
 

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