Continuity In a Function's Domain...5

[nycmathguy]

Calculus
Section 2 5

Wolfram yielded two graphs. Why two graphs?
Which graph is more accurate?

I say g is continuous because there are no holes, gaps and jumps in its domain.

You say?

 

[MathLover1]

Wolfram yielded two graphs. Why two graphs? -> first is zoom in version ( x is from -1.5 to log(2)), second is from -6 to log(2)
both are same accurate

answer is corrrect

 

[nycmathguy]

Wolfram yielded two graphs. Why two graphs? -> first is zoom in version ( x is from -1.5 to log(2)), second is from -6 to log(2)
both are same accurate

answer is corrrect

Beautiful. I now know why Wolfram yields two graphs. Today we end Section 2.5 with the intermediate value theorem and a few prove questions. I know how much you enjoy challenging proofs. I also like reading your reply and reasoning to show each prove.