Question

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

Answer 1

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.