What is the f(x)=(x^5)/5-(5x^4)/4+(4x^3)/3+(x^2)/2 ?

The f(x)=(x^5)/5-(5x^4)/4+(4x^3)/3+(x^2)/2 is

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f(x)=(x^5)/5-(5x^4)/4+(4x^3)/3+(x^2)/2

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

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- 0.29157 \dots, 0), (1.81338 \dots, 0), (4.72818 \dots, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 0.19869 \dots, 0.00727 \dots), Minimum (0, 0), Maximum (1.28646 \dots, 0.94725 \dots), Minimum (3.91222 \dots, - 22.03786 \dots)

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{5}}{5} - \frac{5 x ^{4}}{4} + \frac{4 x ^{3}}{3} + \frac{x ^{2}}{2} : - \infty < x < \infty

Range of

\frac{x ^{5}}{5} - \frac{5 x ^{4}}{4} + \frac{4 x ^{3}}{3} + \frac{x ^{2}}{2} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{5}}{5} - \frac{5 x ^{4}}{4} + \frac{4 x ^{3}}{3} + \frac{x ^{2}}{2} :

X Intercepts

: (0, 0), (- 0.29157 \dots, 0), (1.81338 \dots, 0), (4.72818 \dots, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{5}}{5} - \frac{5 x ^{4}}{4} + \frac{4 x ^{3}}{3} + \frac{x ^{2}}{2} :

None

Extreme Points of

\frac{x ^{5}}{5} - \frac{5 x ^{4}}{4} + \frac{4 x ^{3}}{3} + \frac{x ^{2}}{2} :

Maximum

(- 0.19869 \dots, 0.00727 \dots),

Minimum

(0, 0),

Maximum

(1.28646 \dots, 0.94725 \dots),

Minimum

(3.91222 \dots, - 22.03786 \dots)

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

f (m) = m^{\frac{2}{3}}

f (x) = lo g_{9} (x) - 2

f (x) = ln (x^{2} + 2 x)

g (x) = x + 6

What is the f(x)=(x^5)/5-(5x^4)/4+(4x^3)/3+(x^2)/2 ?
The f(x)=(x^5)/5-(5x^4)/4+(4x^3)/3+(x^2)/2 is