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Popular >

y=3^xx^3

Solution

y = 3^{x} x^{3}

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{3}{ln ( 3 )}, - \frac{3 ^{\frac{3 l n ( 3 ) - 3}{l n ( 3 )}}}{ln ^{3} ( 3 )}), Saddle (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

3^{x} x^{3} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3^{x} x^{3} :

Horizontal

: y = 0

Extreme Points of

3^{x} x^{3} :

Minimum

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

Saddle

(0, 0)

Popular Examples

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Frequently Asked Questions (FAQ)

What is the y=3^xx^3 ?
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