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Popular >

f(x)=2x^4+2x^3+x^2-x-1

Solution

f (x) = 2 x^{4} + 2 x^{3} + x^{2} - x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{147}{128}

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

Asymptotes : None

Extreme Points : Minimum (\frac{1}{4}, - \frac{147}{128})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{147}{128}, \infty)

Solution steps

Domain of

2 x^{4} + 2 x^{3} + x^{2} - x - 1 : - \infty < x < \infty

Range of

2 x^{4} + 2 x^{3} + x^{2} - x - 1 : f (x) \geq - \frac{147}{128}

Axis interception points of

2 x^{4} + 2 x^{3} + x^{2} - x - 1 :

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

2 x^{4} + 2 x^{3} + x^{2} - x - 1 :

None

Extreme Points of

2 x^{4} + 2 x^{3} + x^{2} - x - 1 :

Minimum

(\frac{1}{4}, - \frac{147}{128})

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Frequently Asked Questions (FAQ)

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