What is the f(x)= 1/4 x^4-2/3 x^3-1/2 x^2+2x-1 ?

The f(x)= 1/4 x^4-2/3 x^3-1/2 x^2+2x-1 is

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f(x)= 1/4 x^4-2/3 x^3-1/2 x^2+2x-1

f (x) = \frac{1}{4} x^{4} - \frac{2}{3} x^{3} - \frac{1}{2} x^{2} + 2 x - 1

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{31}{12}

X Intercepts : (- 1.76448 \dots, 0), (0.72137 \dots, 0), (1.30893 \dots, 0), (2.40083 \dots, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (- 1, - \frac{31}{12}), Maximum (1, \frac{1}{12}), Minimum (2, - \frac{1}{3})

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{31}{12}, \infty)

Solution steps

Domain of

\frac{1}{4} x^{4} - \frac{2}{3} x^{3} - \frac{1}{2} x^{2} + 2 x - 1 : - \infty < x < \infty

Range of

\frac{1}{4} x^{4} - \frac{2}{3} x^{3} - \frac{1}{2} x^{2} + 2 x - 1 : f (x) \geq - \frac{31}{12}

Axis interception points of

\frac{1}{4} x^{4} - \frac{2}{3} x^{3} - \frac{1}{2} x^{2} + 2 x - 1 :

X Intercepts

: (- 1.76448 \dots, 0), (0.72137 \dots, 0), (1.30893 \dots, 0), (2.40083 \dots, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{1}{4} x^{4} - \frac{2}{3} x^{3} - \frac{1}{2} x^{2} + 2 x - 1 :

None

Extreme Points of

\frac{1}{4} x^{4} - \frac{2}{3} x^{3} - \frac{1}{2} x^{2} + 2 x - 1 :

Minimum

(- 1, - \frac{31}{12}),

Maximum

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

Minimum

(2, - \frac{1}{3})

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What is the f(x)= 1/4 x^4-2/3 x^3-1/2 x^2+2x-1 ?
The f(x)= 1/4 x^4-2/3 x^3-1/2 x^2+2x-1 is