When  x=1  there is a local maximum and the second derivative is positive.

 When  x=0  the second derivative of the function is positive.

When  x=-1  there is a local minimum and the second derivative is negative.

As  x  increases, there is a concavity change in the graph of the function from concave up to concave down.

When  x=-1  there is a local minimum and the second derivative is positive.

When  x=0  the first derivative will be negative.

 As  x  increases, there is a concavity change in the graph of the function from concave down to concave up.

When  x=1  there is a local maximum and the second derivative is negative.