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Popular >

f(x)=x^3(x^2-2)

Solution

f (x) = x^{3} (x^{2} - 2)

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (- 2, 0), (2, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{6}{5}, \frac{24 6}{25 5}), Saddle (0, 0), Minimum (\frac{6}{5}, - \frac{24 6}{25 5})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} (x^{2} - 2) : - \infty < x < \infty

Range of

x^{3} (x^{2} - 2) : - \infty < f (x) < \infty

Axis interception points of

x^{3} (x^{2} - 2) :

X Intercepts

: (0, 0), (- 2, 0), (2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} (x^{2} - 2) :

None

Extreme Points of

x^{3} (x^{2} - 2) :

Maximum

(- \frac{6}{5}, \frac{24 6}{25 5}),

Saddle

(0, 0),

Minimum

(\frac{6}{5}, - \frac{24 6}{25 5})

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Frequently Asked Questions (FAQ)

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