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

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

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

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

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{5}{12}

X Intercepts : (0, 0), (\frac{4 + 70}{9}, 0), (\frac{4 - 70}{9}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{3}, - \frac{7}{324}), Maximum (0, 0), Minimum (1, - \frac{5}{12})

Solution steps

Domain of

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

Range of

\frac{3}{4} x^{4} - \frac{2}{3} x^{3} - \frac{1}{2} x^{2} : f (x) \geq - \frac{5}{12}

Axis interception points of

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

X Intercepts

: (0, 0), (\frac{4 + 70}{9}, 0), (\frac{4 - 70}{9}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{1}{3}, - \frac{7}{324}),

Maximum

(0, 0),

Minimum

(1, - \frac{5}{12})

f (n) = n^{2} - 81

f (x) = 6 (x + 2) (x - 5)^{4} (2 x - 1)^{2} (x - 1)

f (x) = x^{2} - 14 x - 4

f (x) = x^{2} - 14 x + 7

f (x) = x^{4} - 2 x^{3} + 5 x^{2} - 7 x + 4

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