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Popular >

f(x)= 1/4 x^5-x^3+3/4 x^2x

Solution

f (x) = \frac{1}{4} x^{5} - x^{3} + \frac{3}{4} x^{2} x

Solution

Domain : - \infty < x < \infty

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

Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{3}{5}, (\frac{3}{5})^{\frac{3}{2}} - \frac{27 3}{50 5}), Saddle (0, 0), Minimum (\frac{3}{5}, - (\frac{3}{5})^{\frac{3}{2}} + \frac{27 3}{50 5})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{1}{4} x^{5} - x^{3} + \frac{3}{4} x^{2} x : - \infty < x < \infty

Range of

\frac{1}{4} x^{5} - x^{3} + \frac{3}{4} x^{2} x : - \infty < f (x) < \infty

Axis interception points of

\frac{1}{4} x^{5} - x^{3} + \frac{3}{4} x^{2} x :

Y Intercepts

: (0, 0)

Asymptotes of

\frac{1}{4} x^{5} - x^{3} + \frac{3}{4} x^{2} x :

None

Extreme Points of

\frac{1}{4} x^{5} - x^{3} + \frac{3}{4} x^{2} x :

Maximum

(- \frac{3}{5}, (\frac{3}{5})^{\frac{3}{2}} - \frac{27 3}{50 5}),

Saddle

(0, 0),

Minimum

(\frac{3}{5}, - (\frac{3}{5})^{\frac{3}{2}} + \frac{27 3}{50 5})

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Frequently Asked Questions (FAQ)

What is the f(x)= 1/4 x^5-x^3+3/4 x^2x ?
The f(x)= 1/4 x^5-x^3+3/4 x^2x is