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Popular >

y= 1/3 x^3-1/2 x^2-2x+1/12

Solution

y = \frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 2 x + \frac{1}{12}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.04125 \dots, 0), (- 1.83814 \dots, 0), (3.29689 \dots, 0), Y Intercepts : (0, \frac{1}{12})

Asymptotes : None

Extreme Points : Maximum (- 1, \frac{5}{4}), Minimum (2, - \frac{13}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 2 x + \frac{1}{12} : - \infty < x < \infty

Range of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 2 x + \frac{1}{12} : - \infty < f (x) < \infty

Axis interception points of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 2 x + \frac{1}{12} :

X Intercepts

: (0.04125 \dots, 0), (- 1.83814 \dots, 0), (3.29689 \dots, 0),

Y Intercepts

: (0, \frac{1}{12})

Asymptotes of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 2 x + \frac{1}{12} :

None

Extreme Points of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 2 x + \frac{1}{12} :

Maximum

(- 1, \frac{5}{4}),

Minimum

(2, - \frac{13}{4})

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Frequently Asked Questions (FAQ)

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