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(Solved): Let f(x)=3x^((2)/(3))-4x on the interval -0.5,3. List critical points in order from smallest (A) to ...



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)

?


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