What is the f(x)=(x^5}{20}+\frac{x^4)/6-(x^3)/2 ?

The f(x)=(x^5}{20}+\frac{x^4)/6-(x^3)/2 is

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f(x)=(x^5}{20}+\frac{x^4)/6-(x^3)/2

f (x) = \frac{x ^{5}}{20} + \frac{x ^{4}}{6} - \frac{x ^{3}}{2}

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{- 5 + 115}{3}, 0), (- \frac{5 + 115}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 70}{3}, \frac{2 ( 7037 + 875 70 )}{1215}), Saddle (0, 0), Minimum (\frac{- 4 + 70}{3}, \frac{2 ( 7037 - 875 70 )}{1215})

Solution steps

Domain of

\frac{x ^{5}}{20} + \frac{x ^{4}}{6} - \frac{x ^{3}}{2} : - \infty < x < \infty

Range of

\frac{x ^{5}}{20} + \frac{x ^{4}}{6} - \frac{x ^{3}}{2} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{5}}{20} + \frac{x ^{4}}{6} - \frac{x ^{3}}{2} :

X Intercepts

: (0, 0), (\frac{- 5 + 115}{3}, 0), (- \frac{5 + 115}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{5}}{20} + \frac{x ^{4}}{6} - \frac{x ^{3}}{2} :

None

Extreme Points of

\frac{x ^{5}}{20} + \frac{x ^{4}}{6} - \frac{x ^{3}}{2} :

Maximum

(- \frac{4 + 70}{3}, \frac{2 ( 7037 + 875 70 )}{1215}),

Saddle

(0, 0),

Minimum

(\frac{- 4 + 70}{3}, \frac{2 ( 7037 - 875 70 )}{1215})

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

f (x) = 6 x^{7}

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

f (t) = e^{2 t} sin (3 t)

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

What is the f(x)=(x^5}{20}+\frac{x^4)/6-(x^3)/2 ?
The f(x)=(x^5}{20}+\frac{x^4)/6-(x^3)/2 is