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Popular >

f(b)=1-27b^2+b^4

Solution

f (b) = 1 - 27 b^{2} + b^{4}

Solution

Domain : - \infty < b < \infty

Range : f (x) \geq - \frac{725}{4}

X Intercepts : \frac{27 + 5 29}{2}, 0, - \frac{27 + 5 29}{2}, 0, \frac{27 - 5 29}{2}, 0, - \frac{27 - 5 29}{2}, 0, Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 1 - 27 b^{2} + b^{4}

Extreme Points : Minimum (- \frac{3 3}{2}, - \frac{725}{4}), Maximum (0, 1), Minimum (\frac{3 3}{2}, - \frac{725}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

1 - 27 b^{2} + b^{4} : - \infty < b < \infty

Range of

1 - 27 b^{2} + b^{4} : f (x) \geq - \frac{725}{4}

Axis interception points of

1 - 27 b^{2} + b^{4} :

X Intercepts

: \frac{27 + 5 29}{2}, 0, - \frac{27 + 5 29}{2}, 0, \frac{27 - 5 29}{2}, 0, - \frac{27 - 5 29}{2}, 0,

Y Intercepts

: (0, 1)

Asymptotes of

1 - 27 b^{2} + b^{4} :

Horizontal

: y = 1 - 27 b^{2} + b^{4}

Extreme Points of

1 - 27 b^{2} + b^{4} :

Minimum

(- \frac{3 3}{2}, - \frac{725}{4}),

Maximum

(0, 1),

Minimum

(\frac{3 3}{2}, - \frac{725}{4})

Graph

Popular Examples

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y=-3(x-4)+5(2x-1)

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Frequently Asked Questions (FAQ)

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