en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

y=xsqrt(x+\sqrt{x+1)}

Solution

y = x x + x + 1

Solution

Domain : x \geq \frac{- 5 + 1}{2}

Range : f (x) \geq - 0.24548 \dots

X Intercepts : (0, 0), (\frac{1 - 5}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum \frac{1 - 5}{2}, \frac{( 1 - 5 ) 2 ( 1 - 5 ) + 2 3 - 5}{2 \cdot 2 ^{\frac{3}{4}}}, Minimum (- 0.41758 \dots, - 0.24548 \dots)

+1

Interval Notation

Domain : [\frac{- 5 + 1}{2}, \infty)

Range : [- 0.24548 \dots, \infty)

Solution steps

Domain of

x x + x + 1 : x \geq \frac{- 5 + 1}{2}

Range of

x x + x + 1 : f (x) \geq - 0.24548 \dots

Axis interception points of

x x + x + 1 :

X Intercepts

: (0, 0), (\frac{1 - 5}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x x + x + 1 :

None

Extreme Points of

x x + x + 1 :

Maximum

\frac{1 - 5}{2}, \frac{( 1 - 5 ) 2 ( 1 - 5 ) + 2 3 - 5}{2 \cdot 2 ^{\frac{3}{4}}},

Minimum

(- 0.41758 \dots, - 0.24548 \dots)

Graph

Popular Examples

f(x)={2x:-1<= x<1, 2/x :1<= x<4,3:x>= 4}

f(x)=(ln(x^2+6x+6))/(2x+6)

Frequently Asked Questions (FAQ)

What is the y=xsqrt(x+\sqrt{x+1)} ?
The y=xsqrt(x+\sqrt{x+1)} is