en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

y= 3/(x^3)+x^{-4}

Solution

y = \frac{3}{x ^{3}} + x^{- 4}

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq - \frac{2187}{256}

X Intercepts : (- \frac{1}{3}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (- \frac{4}{9}, - \frac{2187}{256})

+1

Interval Notation

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

Range : [- \frac{2187}{256}, \infty)

Solution steps

Domain of

\frac{3}{x ^{3}} + x^{- 4} : x < 0 or x > 0

Range of

\frac{3}{x ^{3}} + x^{- 4} : f (x) \geq - \frac{2187}{256}

Axis interception points of

\frac{3}{x ^{3}} + x^{- 4} :

X Intercepts

: (- \frac{1}{3}, 0)

Asymptotes of

\frac{3}{x ^{3}} + x^{- 4} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{3}{x ^{3}} + x^{- 4} :

Minimum

(- \frac{4}{9}, - \frac{2187}{256})

Graph

Popular Examples

f(x)=-5(4)^x-10

f(x)=x(x-3)(5x+2)

f(x)= 3/(x-3)+(sqrt(4-x^2-1))/(1-|x-2|)

Frequently Asked Questions (FAQ)

What is the y= 3/(x^3)+x^{-4} ?
The y= 3/(x^3)+x^{-4} is