What is the Range of a Rational Function?

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Homework Help Overview

The discussion revolves around finding the range of a rational function, specifically the function y = 1/(x + 1). Participants explore the definitions of range and domain, and how they relate to the behavior of the function.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the definition of range and its relationship to the function's domain. There are discussions about how to express the range without using interval notation, and some participants attempt to clarify the function's form and its implications on the range.

Discussion Status

The discussion is active, with participants exploring different interpretations of the function and its range. Some guidance has been offered regarding the behavior of y-values as x varies, but there is no explicit consensus on the final expression of the range.

Contextual Notes

Participants mention constraints related to completing an assignment without teacher assistance and express uncertainty about using interval notation. There is also a focus on understanding the implications of asymptotes on the range.

  • #31
Thanks for the help, and just to be sure, the range is always expressed as y \neq ...
 
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  • #32
No, only sometimes, like here.
 

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