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Popular >

h(z)=(z^4)/4-(4z^3)/6

Solution

h (z) = \frac{z ^{4}}{4} - \frac{4 z ^{3}}{6}

Solution

Domain : - \infty < z < \infty

Range : f (z) \geq - \frac{4}{3}

X Intercepts : (0, 0), (\frac{8}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{4}{3}, \infty)

Solution steps

Domain of

\frac{z ^{4}}{4} - \frac{4 z ^{3}}{6} : - \infty < z < \infty

Range of

\frac{z ^{4}}{4} - \frac{4 z ^{3}}{6} : f (z) \geq - \frac{4}{3}

Axis interception points of

\frac{z ^{4}}{4} - \frac{4 z ^{3}}{6} :

X Intercepts

: (0, 0), (\frac{8}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{z ^{4}}{4} - \frac{4 z ^{3}}{6} :

None

Extreme Points of

\frac{z ^{4}}{4} - \frac{4 z ^{3}}{6} :

Saddle

(0, 0),

Minimum

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

Popular Examples

h(x)=sqrt(4-x^2)

h (x) = 4 - x^{2}

y = \frac{x - 1}{2}

y = 3 sin (x - 4) + 5

f(x)=2x^3-9x^2+2

f (x) = 2 x^{3} - 9 x^{2} + 2

y = - 16 t^{2} + 486

Frequently Asked Questions (FAQ)

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