For y=3(4/x²), determine concavity and thex-values where points of inflection occur. Do not sketch the graph.

On whichinterval(s) is the function concavedown? Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

The function is concave down on

nothing

.

(Type your answer in interval notation. Simplify youranswer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers asneeded.)

B.

The function is never concave down.

On whichinterval(s) is the function concaveup? Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

The function is concave up on

nothing

.

(Type your answer in interval notation. Simplify youranswer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers asneeded.)

B.

The curve is never concave up.

Determine the inflectionpoint(s). Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

The inflectionpoint(s) occur at x=

nothing

.

(Type an exactanswer, using radicals as needed. Use a comma to separate answers asneeded.)

B.

The given function has no inflection points.

1111111111