Determine intervals on which the function isincreasing; intervals on which the function isdecreasing; relativeextrema; symmetry; and those intercepts that can be obtained conveniently. Then sketch the graph.

y=x5/313x2/3

For whichinterval(s) is the functionincreasing? Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

The function is increasing on

nothing

.

(Type your answer in interval notation. Use a comma to separate answers asneeded.)

B.

The function is never increasing.

For whichinterval(s) is the functiondecreasing? Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

The function is decreasing on

nothing

.

(Type your answer in interval notation. Use a comma to separate answers asneeded.)

B.

The function is never decreasing.

Identify the location of the relative maxima. Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

The relative maxima are

nothing

.

(Round to three decimal places as needed. Type an ordered pair. Use a comma to separate answers asneeded.)

B.

There are no relative maxima.

Identify the location of the relative minima. Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

The relative minima are

nothing

.

(Round to three decimal places as needed. Type an ordered pair. Use a comma to separate answers asneeded.)

B.

There are no relative minima.

Identify any symmetry of the function.

A.

The function is neither symmetric about the origin nor they-axis.

B.

The function is symmetric about the origin.

C.

The function is symmetric about they-axis.

What are theintercepts? Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

The intercepts are

.

(Type an ordered pair. Use a comma to separate answers asneeded.)

B.

There are no intercepts.

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