Question

Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find;

1) domain of f:

2)Vertical asymptotes:

3) Horizontal asymptotes:

4) Intersection in y:

5) intersection in x:

6) Critical numbers

7) intervals where f is increasing:

8) Intervals where f is decreasing:

9) Relatives extremes

Relatives minimums:

Relatives maximums:

10) Inflection points:

11) Intervals where f is concave upwards:

12) intervals where f is concave down:

13) plot the graph of f on the plane:

Answer 1