What is the inflection f(x)=3x^4-18x^3+x-7 ?

The inflection f(x)=3x^4-18x^3+x-7 is (0,-7),(3,-247)

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inflection f(x)=3x^4-18x^3+x-7

inflection points

f (x) = 3 x^{4} - 18 x^{3} + x - 7

(0, - 7), (3, - 247)

Solution steps

f^{''} (x) = 36 x^{2} - 108 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 3,

Concave Upward

: 3 < x < \infty

Plug

x = 0

into

3 x^{4} - 18 x^{3} + x - 7 : - 7

(0, - 7)

Plug

x = 3

into

3 x^{4} - 18 x^{3} + x - 7 : - 247

(3, - 247)

(0, - 7), (3, - 247)

What is the inflection f(x)=3x^4-18x^3+x-7 ?
The inflection f(x)=3x^4-18x^3+x-7 is (0,-7),(3,-247)