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Popular >

f(n)=4n^{12}-32n^7+48n^2

Solution

f (n) = 4 n^{12} - 32 n^{7} + 48 n^{2}

Solution

Domain : - \infty < n < \infty

Range : f (x) \geq 4 (\frac{7 + 31}{3})^{\frac{12}{5}} - 32 (\frac{7 + 31}{3})^{\frac{7}{5}} + 48 (\frac{7 + 31}{3})^{\frac{2}{5}}

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : 4 (\frac{7 + 31}{3})^{\frac{12}{5}} - 32 (\frac{7 + 31}{3})^{\frac{7}{5}} + 48 (\frac{7 + 31}{3})^{\frac{2}{5}}, \infty

Solution steps

Domain of

4 n^{12} - 32 n^{7} + 48 n^{2} : - \infty < n < \infty

Range of

4 n^{12} - 32 n^{7} + 48 n^{2} : f (x) \geq 4 (\frac{7 + 31}{3})^{\frac{12}{5}} - 32 (\frac{7 + 31}{3})^{\frac{7}{5}} + 48 (\frac{7 + 31}{3})^{\frac{2}{5}}

Axis interception points of

4 n^{12} - 32 n^{7} + 48 n^{2} :

X Intercepts

Y Intercepts

: (0, 0)

Asymptotes of

4 n^{12} - 32 n^{7} + 48 n^{2} :

None

Extreme Points of

4 n^{12} - 32 n^{7} + 48 n^{2} :

Minimum

(0, 0),

Maximum

Minimum

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Frequently Asked Questions (FAQ)

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