Given a range value, find the correspoding domain value

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    Domain Range Value
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Discussion Overview

The discussion revolves around finding the domain value corresponding to a given range value for the function f(x) = -6x + 11. Participants explore the interpretation of the problem and the relationship between range and domain.

Discussion Character

  • Homework-related, Conceptual clarification

Main Points Raised

  • One participant presents the problem of finding the domain value for the range value of -1 in the function f(x) = -6x + 11.
  • Another participant questions whether the range is associated with the function f or the variable x.
  • Several participants suggest setting the equation -6x + 11 equal to -1 to solve for x, indicating a method to find the domain value.
  • There is a note that the terminology used in the problem is not commonly encountered, prompting discussion on its interpretation.

Areas of Agreement / Disagreement

Participants generally agree on the method of setting the function equal to the range value to find the corresponding domain value, but there is some uncertainty regarding the terminology and interpretation of the problem.

Contextual Notes

There is a lack of clarity on the definitions of range and domain as used in this context, and the problem's phrasing may lead to different interpretations.

sharkman1
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Here is the problem:
If -1 is a range value for the function f(x) = -6x + 11, find the domain value.

thank you for your help
 
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Is range associated with $f$ or $x$?
 
Is it -6x + 11 = -1?
 
Monoxdifly said:
Is it -6x + 11 = -1?

Yes, we set:

$$f(x)=-1$$

And then solve for $x$ to get the "domain" value associated with the "range" value of -1. I don't think I have ever read a problem termed like this, so this is how I think it should be interpreted.
 

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