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Popular >

f(x)=x^{-x}

Solution

f (x) = x^{- x}

Solution

Domain : x > 0

Range : 0 < f (x) \leq e^{\frac{1}{e}}

Intercepts : None

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (0, \infty)

Range : (0, e^{\frac{1}{e}}]

Solution steps

Domain of

x^{- x} : x > 0

Range of

x^{- x} : 0 < f (x) \leq e^{\frac{1}{e}}

Axis interception points of

x^{- x} :

None

Asymptotes of

x^{- x} :

Horizontal

: y = 0

Extreme Points of

x^{- x} :

Maximum

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

Popular Examples

y=(x^4+2x)(x^3+2x^2+1)

y = (x^{4} + 2 x) (x^{3} + 2 x^{2} + 1)

f(x)=7x^4-6x^3+62x^2-54x-9

f (x) = 7 x^{4} - 6 x^{3} + 62 x^{2} - 54 x - 9

f (x) = x^{- 5}

f(x)=-0.9x^2+1.7x+2.5

f (x) = - 0.9 x^{2} + 1.7 x + 2.5

f (x) = 7 sin^{2} (x)

Frequently Asked Questions (FAQ)

What is the f(x)=x^{-x} ?
The f(x)=x^{-x} is