Applying ln to a graph: where would it be continuous?

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Homework Help Overview

The discussion revolves around determining the continuity of a function involving the natural logarithm, specifically focusing on the conditions under which the function is defined and positive. Participants are preparing for a final exam by reviewing a midterm question related to the domain of the logarithmic function.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the domain of the natural logarithm function, questioning what values make the function positive and continuous. There is an exploration of the conditions under which the function g(x) is greater than zero.

Discussion Status

Participants are actively engaging with the problem, with some suggesting that the answer may be B or C. There is a focus on clarifying the conditions for g(x) to be positive, and while some participants express confidence in their answers, there is no explicit consensus reached.

Contextual Notes

There is a mention of the need to consider the domain of g(x) in relation to the logarithmic function, indicating that the discussion is constrained by the requirements of the original problem and the nature of the function being analyzed.

smeiste
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Homework Statement


IMG_0557.jpg


Homework Equations



I'm looking over in old midterm to prepare for a final and can't figure out what the correct answer is. No answers were ever given. I'm not cheating on anything, would just like to know what the correct answer is and why :)

The Attempt at a Solution


I think the answer is either B or C but I can't decide.
 
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smeiste said:

Homework Statement


IMG_0557.jpg


Homework Equations



I'm looking over in old midterm to prepare for a final and can't figure out what the correct answer is. No answers were ever given. I'm not cheating on anything, would just like to know what the correct answer is and why :)

The Attempt at a Solution


I think the answer is either B or C but I can't decide.
What is the domain of ln(u) ?
 
um positive numbers only.
 
smeiste said:
um positive numbers only.

Ok, so where is g(x) positive?
 
from zero to infinity
 
smeiste said:
from zero to infinity

I meant for what values of 'x' is g(x) positive? That's what you need to know.
 
smeiste said:
from zero to infinity
The question is: "For what values of x is g(x) greater than zero?" Don't forget that in order for g(x) > 0, x must also be in the domain of g.
 
ohh okay. so the answer is B?
 
smeiste said:
ohh okay. so the answer is B?

B is right.
 

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