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let-f-x-3x-2-3-4x-on-the-interval-0-5-3-list-critical-points-in-order-from-smallest-a-to-pa361

Let

`f(x)=3x^((2)/(3))-4x`

on the interval

`-0.5,3`

. List critical points in order from smallest (A) to largest (B). A:

`?`

`B`

:

`?`

For what

`x`

is

`f^('')(x)=0`

or undefined on

`(-0.5,3)`

? Call this point

`C`

. C:

`?`

Indicate if the function is increasing (INC) or decreasing (DEC) on the following intervals:

```
(-0.5,A)
(A,B)
(B,3)
```

Indicate if the function is concave up (CU) or concave down (CD) on the following intervals:

```
(-0.5,C)
(C,3)
```

Is point C an inflection point? (YES/NO)

`?`