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Popular >

y=3x^5-5x^4-20x^3+50

Solution

y = 3 x^{5} - 5 x^{4} - 20 x^{3} + 50

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1.32799 \dots, 0), (- 2.16663 \dots, 0), (3.47206 \dots, 0), Y Intercepts : (0, 50)

Asymptotes : None

Extreme Points : Maximum (\frac{2 ( 1 - 10 )}{3}, \frac{3200 10 - 8528}{81} + 50), Saddle (0, 50), Minimum (\frac{2 ( 1 + 10 )}{3}, \frac{- 8528 - 3200 10}{81} + 50)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

3 x^{5} - 5 x^{4} - 20 x^{3} + 50 : - \infty < x < \infty

Range of

3 x^{5} - 5 x^{4} - 20 x^{3} + 50 : - \infty < f (x) < \infty

Axis interception points of

3 x^{5} - 5 x^{4} - 20 x^{3} + 50 :

X Intercepts

: (1.32799 \dots, 0), (- 2.16663 \dots, 0), (3.47206 \dots, 0),

Y Intercepts

: (0, 50)

Asymptotes of

3 x^{5} - 5 x^{4} - 20 x^{3} + 50 :

None

Extreme Points of

3 x^{5} - 5 x^{4} - 20 x^{3} + 50 :

Maximum

(\frac{2 ( 1 - 10 )}{3}, \frac{3200 10 - 8528}{81} + 50),

Saddle

(0, 50),

Minimum

(\frac{2 ( 1 + 10 )}{3}, \frac{- 8528 - 3200 10}{81} + 50)

Graph

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

Frequently Asked Questions (FAQ)

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