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Popular >

f(n)=5n^5+5n^4-30n^3

Solution

f (n) = 5 n^{5} + 5 n^{4} - 30 n^{3}

Solution

Domain : - \infty < n < \infty

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

X Intercepts : (0, 0), (2, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{2 + 94}{5}, \frac{45428 + 7144 94}{625}), Saddle (0, 0), Minimum (\frac{- 2 + 94}{5}, \frac{45428 - 7144 94}{625})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

5 n^{5} + 5 n^{4} - 30 n^{3} : - \infty < n < \infty

Range of

5 n^{5} + 5 n^{4} - 30 n^{3} : - \infty < f (x) < \infty

Axis interception points of

5 n^{5} + 5 n^{4} - 30 n^{3} :

X Intercepts

: (0, 0), (2, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

5 n^{5} + 5 n^{4} - 30 n^{3} :

None

Extreme Points of

5 n^{5} + 5 n^{4} - 30 n^{3} :

Maximum

(- \frac{2 + 94}{5}, \frac{45428 + 7144 94}{625}),

Saddle

(0, 0),

Minimum

(\frac{- 2 + 94}{5}, \frac{45428 - 7144 94}{625})

Popular Examples

f (x) = x e^{4 x}

f(x)=x^3-3x^2-25x+75

f (x) = x^{3} - 3 x^{2} - 25 x + 75

f (x) = ln (x^{2} - 3)

y = - 3 x^{2} + 12 x - 8

f (x) = - x^{2} - 6 x

Frequently Asked Questions (FAQ)

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