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Popular >

f(x)=x^x

Solution

f (x) = x^{x}

Solution

Domain : x > 0

Range : f (x) \geq (\frac{1}{e})^{\frac{1}{e}}

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (\frac{1}{e}, (\frac{1}{e})^{\frac{1}{e}})

+1

Interval Notation

Domain : (0, \infty)

Range : [(\frac{1}{e})^{\frac{1}{e}}, \infty)

Solution steps

Domain of

x^{x} : x > 0

Range of

x^{x} : f (x) \geq (\frac{1}{e})^{\frac{1}{e}}

Axis interception points of

x^{x} :

None

Asymptotes of

x^{x} :

None

Extreme Points of

x^{x} :

Minimum

(\frac{1}{e}, (\frac{1}{e})^{\frac{1}{e}})

Popular Examples

domain of (3x^2-9x+12)/(x^2-10x+25)domain

\frac{3 x ^{2} - 9 x + 12}{x ^{2} - 10 x + 25}

periodicity of y=3cot(1/2 x)-2 periodicity

y = 3 cot (\frac{1}{2} x) - 2

domain of 1/(1+5(\frac{1-x){5x})}domain

\frac{1}{1 + 5 ( \frac{1 - x}{5 x} )}

range of X^3 range

X^{3}

extreme y= x/(x^2+1)extreme points

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

Frequently Asked Questions (FAQ)

What is the f(x)=x^x ?
The f(x)=x^x is