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Popular >

f(x)=-2x^6+6x^5+18x^4-54x^3

Solution

f (x) = - 2 x^{6} + 6 x^{5} + 18 x^{4} - 54 x^{3}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{12881 + 2117 73}{64}

X Intercepts : (0, 0), (3, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{- 1 - 73}{4}, \frac{12881 + 2117 73}{64}), Saddle (0, 0), Minimum (\frac{- 1 + 73}{4}, \frac{12881 - 2117 73}{64}), Maximum (3, 0)

+1

Solution steps

Domain of

- 2 x^{6} + 6 x^{5} + 18 x^{4} - 54 x^{3} : - \infty < x < \infty

Range of

- 2 x^{6} + 6 x^{5} + 18 x^{4} - 54 x^{3} : f (x) \leq \frac{12881 + 2117 73}{64}

Axis interception points of

- 2 x^{6} + 6 x^{5} + 18 x^{4} - 54 x^{3} :

X Intercepts

: (0, 0), (3, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- 2 x^{6} + 6 x^{5} + 18 x^{4} - 54 x^{3} :

None

Extreme Points of

- 2 x^{6} + 6 x^{5} + 18 x^{4} - 54 x^{3} :

Maximum

(\frac{- 1 - 73}{4}, \frac{12881 + 2117 73}{64}),

Saddle

(0, 0),

Minimum

(\frac{- 1 + 73}{4}, \frac{12881 - 2117 73}{64}),

Maximum

(3, 0)

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Frequently Asked Questions (FAQ)

What is the f(x)=-2x^6+6x^5+18x^4-54x^3 ?
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