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Popular >

f(n)=4n+nlog_{2}(n)+3

Solution

f (n) = 4 n + n lo g_{2} (n) + 3

Solution

Domain : n > 0

Range : f (x) \geq 4 \cdot 2^{- \frac{1}{l n ( 2 )} - 4} + 2^{- \frac{1}{l n ( 2 )} - 4} lo g_{2} (2^{- \frac{1}{l n ( 2 )} - 4}) + 3

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (2^{- \frac{1}{l n ( 2 )} - 4}, 4 \cdot 2^{- \frac{1}{l n ( 2 )} - 4} + 2^{- \frac{1}{l n ( 2 )} - 4} lo g_{2} (2^{- \frac{1}{l n ( 2 )} - 4}) + 3)

+1

Interval Notation

Domain : (0, \infty)

Range : [4 2^{- \frac{1}{l n ( 2 )} - 4} + 2^{- \frac{1}{l n ( 2 )} - 4} lo g_{2} (2^{- \frac{1}{l n ( 2 )} - 4}) + 3, \infty)

Solution steps

Domain of

4 n + n lo g_{2} (n) + 3 : n > 0

Range of

4 n + n lo g_{2} (n) + 3 : f (x) \geq 4 \cdot 2^{- \frac{1}{l n ( 2 )} - 4} + 2^{- \frac{1}{l n ( 2 )} - 4} lo g_{2} (2^{- \frac{1}{l n ( 2 )} - 4}) + 3

Axis interception points of

4 n + n lo g_{2} (n) + 3 :

None

Asymptotes of

4 n + n lo g_{2} (n) + 3 :

None

Extreme Points of

4 n + n lo g_{2} (n) + 3 :

Minimum

(2^{- \frac{1}{l n ( 2 )} - 4}, 4 \cdot 2^{- \frac{1}{l n ( 2 )} - 4} + 2^{- \frac{1}{l n ( 2 )} - 4} lo g_{2} (2^{- \frac{1}{l n ( 2 )} - 4}) + 3)

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Frequently Asked Questions (FAQ)

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