Given:
The function
Required:
State where the inflection points, critical points, concave up and down points.
Step-by-step explanation:
Inflection points are points where the function changes concavity, i.e. from being "concave up" to being "concave down" or vice versa.
A graph is said to be concave up at a point if the tangent line to the graph at that point lies below the graph in the vicinity of the point and concave down at a point if the tangent line lies above the graph in the vicinity of the point.
A critical point is a point in the domain of the function where the function is either not differentiable or the derivative is equal to zero.
The graph is
Now,
Answer:
answered the question.