en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y= 1/(2x)+2x

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 2 or f (x) \geq 2

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = 2 x

Extreme Points : Maximum (- \frac{1}{2}, - 2), Minimum (\frac{1}{2}, 2)

+1

Interval Notation

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

Range : (- \infty, - 2] \cup [2, \infty)

Solution steps

Domain of

\frac{1}{2 x} + 2 x : x < 0 or x > 0

Range of

\frac{1}{2 x} + 2 x : f (x) \leq - 2 or f (x) \geq 2

Axis interception points of

\frac{1}{2 x} + 2 x :

None

Asymptotes of

\frac{1}{2 x} + 2 x :

Vertical

: x = 0,

Slant

: y = 2 x

Extreme Points of

\frac{1}{2 x} + 2 x :

Maximum

(- \frac{1}{2}, - 2),

Minimum

(\frac{1}{2}, 2)

Popular Examples

f(x)=(x^3+1)/(x^2+2)

f (x) = \frac{x ^{3} + 1}{x ^{2} + 2}

y = - 3 x^{2} + 12 x + 1

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

f (x) = \frac{4 x + 3}{2 x - 1}

f(x)=sqrt(9x)+2

f (x) = 9 x + 2

f(x)=\sqrt[3]{x}+sqrt(x)

Frequently Asked Questions (FAQ)

What is the y= 1/(2x)+2x ?
The y= 1/(2x)+2x is