What is the f(z)=sqrt((z-8)/(z+8)) ?

Popular >

f(z)=sqrt((z-8)/(z+8))

f (z) = \frac{z - 8}{z + 8}

Domain : z < - 8 or z \geq 8

Range : 0 \leq f (z) < 1 or f (z) > 1

X Intercepts : (8, 0)

Asymptotes : Vertical z = - 8, Horizontal y = 1

Extreme Points : Minimum (8, 0)

Interval Notation

Domain : (- \infty, - 8) \cup [8, \infty)

Range : [0, 1) \cup (1, \infty)

Solution steps

Domain of

\frac{z - 8}{z + 8} : z < - 8 or z \geq 8

Range of

\frac{z - 8}{z + 8} : 0 \leq f (z) < 1 or f (z) > 1

Axis interception points of

\frac{z - 8}{z + 8} :

X Intercepts

: (8, 0)

Asymptotes of

\frac{z - 8}{z + 8} :

Vertical

: z = - 8,

Horizontal

: y = 1

Extreme Points of

\frac{z - 8}{z + 8} :

Minimum

(8, 0)

x \to 3 lim (\frac{5}{x ^{2} - 9})

x \to 0 + lim (x^{4 x})

\frac{d y}{d x} = \frac{1}{5} x

f (x) = x^{2} - 4, at x = 3

\int e^{4 θ} sin (5 θ) d θ