Question: Consider the following function. f ( x ) = 4 x 3 + 1 5 x 2 - 1 5 0 x + 3 (

Consider the following function.

f (x) = 4 x^{3} + 15 x^{2} - 150 x + 3

(a)

Find the intervals

o n

which

f i s

increasing.

(E n t e r

your answer using interval

notation.

)

Find the interval

o n

which

f i s

decreasing.

(E n t e r

your answer using interval

notation.

)

(b)

Find the local minimum and maximum values

o f f .

local minimum value

local maximum value

(c)

Find the inflection point.

(x, y) = ()

Find the interval

o n

which

f i s

concave

u p . (E n t e r

your answer using interval

notation.

)

Find the interval

o n

which

f i s

concave down.

(E n t e r

your answer using interval

notation.

)

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Consider the following function. f ( x ) = 4 x 3

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