What is the f(x)=(x^5}{20}-\frac{x^4)/4-(2x^3)/3 ?

The f(x)=(x^5}{20}-\frac{x^4)/4-(2x^3)/3 is

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f(x)=(x^5}{20}-\frac{x^4)/4-(2x^3)/3

f (x) = \frac{x ^{5}}{20} - \frac{x ^{4}}{4} - \frac{2 x ^{3}}{3}

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{15 + 705}{6}, 0), (\frac{15 - 705}{6}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (2 (1 - 3), - 4 (1 - 3)^{4} + \frac{1024 - 576 3}{15}), Saddle (0, 0), Minimum (2 (1 + 3), - 4 (1 + 3)^{4} + \frac{1024 + 576 3}{15})

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{5}}{20} - \frac{x ^{4}}{4} - \frac{2 x ^{3}}{3} : - \infty < x < \infty

Range of

\frac{x ^{5}}{20} - \frac{x ^{4}}{4} - \frac{2 x ^{3}}{3} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{5}}{20} - \frac{x ^{4}}{4} - \frac{2 x ^{3}}{3} :

X Intercepts

: (0, 0), (\frac{15 + 705}{6}, 0), (\frac{15 - 705}{6}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{5}}{20} - \frac{x ^{4}}{4} - \frac{2 x ^{3}}{3} :

None

Extreme Points of

\frac{x ^{5}}{20} - \frac{x ^{4}}{4} - \frac{2 x ^{3}}{3} :

Maximum

(2 (1 - 3), - 4 (1 - 3)^{4} + \frac{1024 - 576 3}{15}),

Saddle

(0, 0),

Minimum

(2 (1 + 3), - 4 (1 + 3)^{4} + \frac{1024 + 576 3}{15})

f (t) = \frac{1 - cos ( t )}{t}

f (x) = tan (x) + cos (x)

f (n) = 5 n^{3} - 10 n^{2} + 3 n - 6

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

f (x) = 2 x^{3} - 6 x + 5

What is the f(x)=(x^5}{20}-\frac{x^4)/4-(2x^3)/3 ?
The f(x)=(x^5}{20}-\frac{x^4)/4-(2x^3)/3 is