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Popular >

f(z)=((z^3))/((z^2-1))

Solution

f (z) = \frac{( z ^{3} )}{( z ^{2} - 1 )}

Solution

Domain : z < - 1 or - 1 < z < 1 or z > 1

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

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical z = - 1, z = 1, Slant y = z

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

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 1) \cup (1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{z ^{3}}{z ^{2} - 1} : z < - 1 or - 1 < z < 1 or z > 1

Range of

\frac{z ^{3}}{z ^{2} - 1} : - \infty < f (z) < \infty

Axis interception points of

\frac{z ^{3}}{z ^{2} - 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{z ^{3}}{z ^{2} - 1} :

Vertical

: z = - 1, z = 1,

Slant

: y = z

Extreme Points of

\frac{z ^{3}}{z ^{2} - 1} :

Maximum

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

Saddle

(0, 0),

Minimum

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

Popular Examples

y= x/((sqrt(x^2+1)))

y = \frac{x}{( x ^{2} + 1 )}

f(x)=(16)/((x+16))

f (x) = \frac{16}{( x + 16 )}

g(x)=a(x^2+1)-x(a^2+1)

g (x) = a (x^{2} + 1) - x (a^{2} + 1)

\frac{( 1 + sin ( x ) )}{n}

f (a) = 2 a + 5^{a} + 3

Frequently Asked Questions (FAQ)

What is the f(z)=((z^3))/((z^2-1)) ?
The f(z)=((z^3))/((z^2-1)) is