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Popular >

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

Solution

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

Solution

Domain : - \infty < z < \infty

Range : - \infty < f (z) < \infty

X Intercepts : (0, 0), (- 2 + 5, 0), (- 2 - 5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 19}{3}, \frac{164 + 38 19}{27}), Minimum (\frac{- 4 + 19}{3}, \frac{164 - 38 19}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

z^{3} + 4 z^{2} - z : - \infty < f (z) < \infty

Axis interception points of

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

X Intercepts

: (0, 0), (- 2 + 5, 0), (- 2 - 5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- \frac{4 + 19}{3}, \frac{164 + 38 19}{27}),

Minimum

(\frac{- 4 + 19}{3}, \frac{164 - 38 19}{27})

Graph

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Frequently Asked Questions (FAQ)

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