Find the open intervals on which the function f ( x ) x x 2 4 is increasing or decreasing a The function is increasing on the interval 4 2 4 2 and 4 2 , and increasing o n the intervals 4 2 and 4 2 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 and 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 4 2 , and decreasing o n the intervals and 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 4 2 c The function i s increasing o n the interval 4 2 , and decreasing o n the intervals and 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 4 2 and 4 2 c The function i s increasing o n the interval 4 2 , and decreasing o n the intervals and 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 , and decreasing o n the intervals 4 2 and 4 2 c The function i s increasing o n the interval 4 2 , and decreasing o n the intervals and 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 4 2 b The function i s increasing o n the interval , and decreasing o n the intervals 4 2 and 4 2 c The function i s increasing o n the interval 4 2 , and decreasing o n the intervals and 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 and 4 2 b The function i s increasing o n the interval , and decreasing o n the intervals 4 2 and 4 2 c The function i s increasing o n the interval 4 2 , and decreasing o n the intervals and 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2 4 2 , and decreasing o n the intervals and 4 2 b The function i s increasing o n the interval , and decreasing o n the intervals 4 2 and 4 2 c The function i s increasing o n the interval 4 2 , and decreasing o n the intervals and 4 2 d The function i s decreasing o n the interval 4 2 , and increasing o n the intervals and 4 2 e The function i s decreasing o n the interval , and increasing o n the intervals 4 2 and 4 2

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Question: Find the open intervals on which the function f ( x ) = x x 2 + 4 is increasing or decreasing. a . The

Find the open intervals on which the function

f (x) = \frac{x}{x^{2} + 4}

is increasing or decreasing.

.

The function is increasing on the interval

\sqrt[]{4 .} - \sqrt[]{4}

and

\sqrt[]{4 .} -,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} \sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} -

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} - \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} - \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} -

and

- \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} \sqrt[]{4},

and decreasing

o n

the intervals

-

and

- \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} \sqrt[]{4 .}

c .

The function

i s

increasing

o n

the interval

\sqrt[]{4},

and decreasing

o n

the intervals

-

and

- \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} - \sqrt[]{4}

and

\sqrt[]{4 .}

c .

The function

i s

increasing

o n

the interval

\sqrt[]{4},

and decreasing

o n

the intervals

-

and

- \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} -,

and decreasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .}

c .

The function

i s

increasing

o n

the interval

\sqrt[]{4},

and decreasing

o n

the intervals

-

and

- \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} \sqrt[]{4 .}

b .

The function

i s

increasing

o n

the interval

-,

and decreasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .}

c .

The function

i s

increasing

o n

the interval

\sqrt[]{4},

and decreasing

o n

the intervals

-

and

- \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} -

and

\sqrt[]{4 .}

b .

The function

i s

increasing

o n

the interval

-,

and decreasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .}

c .

The function

i s

increasing

o n

the interval

\sqrt[]{4},

and decreasing

o n

the intervals

-

and

- \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .} - \sqrt[]{4},

and decreasing

o n

the intervals

-

and

\sqrt[]{4 .}

b .

The function

i s

increasing

o n

the interval

-,

and decreasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .}

c .

The function

i s

increasing

o n

the interval

\sqrt[]{4},

and decreasing

o n

the intervals

-

and

- \sqrt[]{4 .}

d .

The function

i s

decreasing

o n

the interval

- \sqrt[]{4},

and increasing

o n

the intervals

-

and

\sqrt[]{4 .}

e .

The function

i s

decreasing

o n

the interval

-,

and increasing

o n

the intervals

- \sqrt[]{4}

and

\sqrt[]{4 .}

Find the open intervals on which the function f (

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