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Popular Calculus >

f(x)=x3^x

Solution

f (x) = x 3^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{1}{ln ( 3 )}, - \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )}, \infty)

Solution steps

Domain of

x 3^{x} : - \infty < x < \infty

Range of

x 3^{x} : f (x) \geq - \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )}

Axis interception points of

x 3^{x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x 3^{x} :

Horizontal

: y = 0

Extreme Points of

x 3^{x} :

Minimum

(- \frac{1}{ln ( 3 )}, - \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )})

Graph

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Frequently Asked Questions (FAQ)

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