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#36 graph in desmos and label points of inflection, critical points, local extremes, absolute extremes, asymptotes, etc

#36 graph in desmos and label points of inflection, critical points, local extremes-example-1
User Dennis Kats
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2.1k points

1 Answer

17 votes
17 votes

Question 36.

Given the function:


f(x)=ln(x^2+1)

Let's graph the function.

Let's graph the function using desmos, then label the following:

• 1. Points of inflection

,

• 2. Critical points

,

• 3. Local extremes

• 4. Asymptotes

• The inflection points are the points the function changes concavity.

,

• The local minimum is the point where the minimum value is obtained.

,

• The critical point is the point the function changes direction.

• There is no vertical or horizontal asymptote.

ANSWER:

• The inflection points are the points the function changes concavity.

,

• The local minimum is the point where the minimum value is obtained.

,

• The critical point is the point the function changes direction.

• There is no vertical or horizontal asymptote.

#36 graph in desmos and label points of inflection, critical points, local extremes-example-1
User BFTrick
by
3.2k points