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Popular >

f(x)=-2x^4-x^3+3x^2

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{3 ( 1833 + 67 201 )}{4096}

X Intercepts : (0, 0), (1, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{- 3 - 201}{16}, \frac{3 ( 1833 + 67 201 )}{4096}), Minimum (0, 0), Maximum (\frac{- 3 + 201}{16}, \frac{3 ( 1833 - 67 201 )}{4096})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{3 ( 1833 + 67 201 )}{4096}]

Solution steps

Domain of

- 2 x^{4} - x^{3} + 3 x^{2} : - \infty < x < \infty

Range of

- 2 x^{4} - x^{3} + 3 x^{2} : f (x) \leq \frac{3 ( 1833 + 67 201 )}{4096}

Axis interception points of

- 2 x^{4} - x^{3} + 3 x^{2} :

X Intercepts

: (0, 0), (1, 0), (- \frac{3}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- 2 x^{4} - x^{3} + 3 x^{2} :

None

Extreme Points of

- 2 x^{4} - x^{3} + 3 x^{2} :

Maximum

(\frac{- 3 - 201}{16}, \frac{3 ( 1833 + 67 201 )}{4096}),

Minimum

(0, 0),

Maximum

(\frac{- 3 + 201}{16}, \frac{3 ( 1833 - 67 201 )}{4096})

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Frequently Asked Questions (FAQ)

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