en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

s(t)=t^3(2/t-3/(t^2))^2

Solution

s (t) = t^{3} (\frac{2}{t} - \frac{3}{t ^{2}})^{2}

Solution

Domain : t < 0 or t > 0

Range : f (t) \leq - 24 or f (t) \geq 0

X Intercepts : (\frac{3}{2}, 0)

Asymptotes : Vertical t = 0, Slant y = 4 t - 12

Extreme Points : Maximum (- \frac{3}{2}, - 24), Minimum (\frac{3}{2}, 0)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, - 24] \cup [0, \infty)

Solution steps

Domain of

t^{3} (\frac{2}{t} - \frac{3}{t ^{2}})^{2} : t < 0 or t > 0

Range of

t^{3} (\frac{2}{t} - \frac{3}{t ^{2}})^{2} : f (t) \leq - 24 or f (t) \geq 0

Axis interception points of

t^{3} (\frac{2}{t} - \frac{3}{t ^{2}})^{2} :

X Intercepts

: (\frac{3}{2}, 0)

Asymptotes of

t^{3} (\frac{2}{t} - \frac{3}{t ^{2}})^{2} :

Vertical

: t = 0,

Slant

: y = 4 t - 12

Extreme Points of

t^{3} (\frac{2}{t} - \frac{3}{t ^{2}})^{2} :

Maximum

(- \frac{3}{2}, - 24),

Minimum

(\frac{3}{2}, 0)

Popular Examples

f(x)=2log_{10}(-3(x-1))-4

f (x) = 2 lo g_{10} (- 3 (x - 1)) - 4

f(x)=(2x+6)/(x^2-9)

f (x) = \frac{2 x + 6}{x ^{2} - 9}

f (s) = 5 (s^{4} - 3)

f(x)=(x^2-2x-3)/(x^2-5x+6)

f (x) = \frac{x ^{2} - 2 x - 3}{x ^{2} - 5 x + 6}

f(x)=x^{(-1)/2}

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

Frequently Asked Questions (FAQ)

What is the s(t)=t^3(2/t-3/(t^2))^2 ?
The s(t)=t^3(2/t-3/(t^2))^2 is