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Popular >

f(s)=4s^5-s^3+2s^7-2

Solution

f (s) = 4 s^{5} - s^{3} + 2 s^{7} - 2

Solution

Domain : - \infty < s < \infty

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

X Intercepts : (0.86401 \dots, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Maximum - \frac{- 10 + 142}{14}, - 4 (\frac{- 10 + 142}{14})^{\frac{5}{2}} + (\frac{- 10 + 142}{14})^{\frac{3}{2}} - 2 (\frac{- 10 + 142}{14})^{\frac{7}{2}} - 2, Saddle (0, - 2), Minimum \frac{- 10 + 142}{14}, 4 (\frac{- 10 + 142}{14})^{\frac{5}{2}} - (\frac{- 10 + 142}{14})^{\frac{3}{2}} + 2 (\frac{- 10 + 142}{14})^{\frac{7}{2}} - 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

4 s^{5} - s^{3} + 2 s^{7} - 2 : - \infty < s < \infty

Range of

4 s^{5} - s^{3} + 2 s^{7} - 2 : - \infty < f (s) < \infty

Axis interception points of

4 s^{5} - s^{3} + 2 s^{7} - 2 :

X Intercepts

: (0.86401 \dots, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

4 s^{5} - s^{3} + 2 s^{7} - 2 :

None

Extreme Points of

4 s^{5} - s^{3} + 2 s^{7} - 2 :

Maximum

- \frac{- 10 + 142}{14}, - 4 (\frac{- 10 + 142}{14})^{\frac{5}{2}} + (\frac{- 10 + 142}{14})^{\frac{3}{2}} - 2 (\frac{- 10 + 142}{14})^{\frac{7}{2}} - 2,

Saddle

(0, - 2),

Minimum

\frac{- 10 + 142}{14}, 4 (\frac{- 10 + 142}{14})^{\frac{5}{2}} - (\frac{- 10 + 142}{14})^{\frac{3}{2}} + 2 (\frac{- 10 + 142}{14})^{\frac{7}{2}} - 2

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Frequently Asked Questions (FAQ)

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