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Popular Calculus >

f(x)=x^3(3x^5-10)^{11}

Solution

f (x) = x^{3} (3 x^{5} - 10)^{11}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{27 5 ^{11} \cdot 5 ^{\frac{3}{5}}}{2 9 ^{11} \cdot 2 9 ^{\frac{3}{5}}}

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{27 5 ^{11} 5 ^{\frac{3}{5}}}{2 9 ^{11} 2 9 ^{\frac{3}{5}}}, \infty)

Solution steps

Domain of

x^{3} (3 x^{5} - 10)^{11} : - \infty < x < \infty

Range of

x^{3} (3 x^{5} - 10)^{11} : f (x) \geq - \frac{27 5 ^{11} \cdot 5 ^{\frac{3}{5}}}{2 9 ^{11} \cdot 2 9 ^{\frac{3}{5}}}

Axis interception points of

x^{3} (3 x^{5} - 10)^{11} :

X Intercepts

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} (3 x^{5} - 10)^{11} :

None

Extreme Points of

x^{3} (3 x^{5} - 10)^{11} :

Saddle

(0, 0),

Minimum

Saddle

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=x^3(3x^5-10)^{11} ?
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