Determine the domain and range of the function y=5−e^(−x/2).

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Homework Help Overview

The discussion revolves around determining the domain and range of the function y=5−e^(−x/2), which involves understanding exponential functions and their properties.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants express difficulty in starting the problem and seek tips or resources. There is mention of the function y = e^x, suggesting a connection to exponential functions. Some participants inquire about the original poster's experience with exponential functions and graphing.

Discussion Status

The discussion is ongoing, with participants sharing their challenges and seeking clarification. There is no explicit consensus yet, but some guidance is being offered regarding foundational concepts related to exponential functions.

Contextual Notes

Participants note the lack of instructional resources in their textbooks, which may be impacting their understanding of the topic.

nukeman
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Homework Statement



Determine the domain and range of the function y=5−e^(−x/2).

I am having some trouble with this. Does any have some tips to get started, or a good link to a instructional video? My textbook does not have this section :(

Thanks all!

Homework Equations





The Attempt at a Solution

 
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nukeman said:

Homework Statement



Determine the domain and range of the function y=5−e^(−x/2).

I am having some trouble with this. Does any have some tips to get started, or a good link to a instructional video? My textbook does not have this section :(

Thanks all!

Homework Equations



The Attempt at a Solution

Do you know the domain or the range of y = ex ?
 
Thats a negative.

I just got to the "e" now, but my book does not explain this. So, that's why I am asking here.
 
nukeman said:
Thats a negative.

I just got to the "e" now, but my book does not explain this. So, that's why I am asking here.
So, you have no experience with exponential functions.

Have you ever graphed y = 2x ?
 

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