What is the f(x)= 3/4 x^4-2/3 x^3-6x^2+15 ?

The f(x)= 3/4 x^4-2/3 x^3-6x^2+15 is

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f(x)= 3/4 x^4-2/3 x^3-6x^2+15

f (x) = \frac{3}{4} x^{4} - \frac{2}{3} x^{3} - 6 x^{2} + 15

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{2 ( 541 + 37 37 )}{81} + 15

X Intercepts : (1.75783 \dots, 0), (2.83313 \dots, 0), Y Intercepts : (0, 15)

Asymptotes : None

Extreme Points : Minimum (\frac{1 - 37}{3}, \frac{2 ( 37 37 - 541 )}{81} + 15), Maximum (0, 15), Minimum (\frac{1 + 37}{3}, - \frac{2 ( 541 + 37 37 )}{81} + 15)

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{2 ( 541 + 37 37 )}{81} + 15, \infty)

Solution steps

Domain of

\frac{3}{4} x^{4} - \frac{2}{3} x^{3} - 6 x^{2} + 15 : - \infty < x < \infty

Range of

\frac{3}{4} x^{4} - \frac{2}{3} x^{3} - 6 x^{2} + 15 : f (x) \geq - \frac{2 ( 541 + 37 37 )}{81} + 15

Axis interception points of

\frac{3}{4} x^{4} - \frac{2}{3} x^{3} - 6 x^{2} + 15 :

X Intercepts

: (1.75783 \dots, 0), (2.83313 \dots, 0),

Y Intercepts

: (0, 15)

Asymptotes of

\frac{3}{4} x^{4} - \frac{2}{3} x^{3} - 6 x^{2} + 15 :

None

Extreme Points of

\frac{3}{4} x^{4} - \frac{2}{3} x^{3} - 6 x^{2} + 15 :

Minimum

(\frac{1 - 37}{3}, \frac{2 ( 37 37 - 541 )}{81} + 15),

Maximum

(0, 15),

Minimum

(\frac{1 + 37}{3}, - \frac{2 ( 541 + 37 37 )}{81} + 15)

f (x) = (x - 3) (x - 1) (x + 1)

f (x) = \frac{2 x + 5}{x ^{2} + 4 x + 3}

f (x) = - x^{2} + 15 x - 56

y = \frac{x ^{4}}{16} + \frac{1}{2 x ^{2}}

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

What is the f(x)= 3/4 x^4-2/3 x^3-6x^2+15 ?
The f(x)= 3/4 x^4-2/3 x^3-6x^2+15 is