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Popular >

f(z)=z^4+8z^3+18z^2+8z-15

Solution

f (z) = z^{4} + 8 z^{3} + 18 z^{2} + 8 z - 15

Solution

Domain : - \infty < z < \infty

Range : f (z) \geq - 16

X Intercepts : (0.64575 \dots, 0), (- 4.64575 \dots, 0), Y Intercepts : (0, - 15)

Asymptotes : None

Extreme Points : Minimum (- 2 - 3, - 16), Maximum (- 2, - 7), Minimum (- 2 + 3, - 16)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 16, \infty)

Solution steps

Domain of

z^{4} + 8 z^{3} + 18 z^{2} + 8 z - 15 : - \infty < z < \infty

Range of

z^{4} + 8 z^{3} + 18 z^{2} + 8 z - 15 : f (z) \geq - 16

Axis interception points of

z^{4} + 8 z^{3} + 18 z^{2} + 8 z - 15 :

X Intercepts

: (0.64575 \dots, 0), (- 4.64575 \dots, 0),

Y Intercepts

: (0, - 15)

Asymptotes of

z^{4} + 8 z^{3} + 18 z^{2} + 8 z - 15 :

None

Extreme Points of

z^{4} + 8 z^{3} + 18 z^{2} + 8 z - 15 :

Minimum

(- 2 - 3, - 16),

Maximum

(- 2, - 7),

Minimum

(- 2 + 3, - 16)

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Frequently Asked Questions (FAQ)

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