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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 0.25701 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (- 2, - \frac{1}{15}), Minimum (- 1, - \frac{23}{15}), Maximum (1, \frac{53}{15}), Minimum (2, \frac{31}{15})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 0.25701 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 2, - \frac{1}{15}),

Minimum

(- 1, - \frac{23}{15}),

Maximum

(1, \frac{53}{15}),

Minimum

(2, \frac{31}{15})

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Frequently Asked Questions (FAQ)

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