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Popular >

f(x)=xlog_{2}(x)

Solution

f (x) = x lo g_{2} (x)

Solution

Domain : x > 0

Range : f (x) \geq \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

X Intercepts : (1, 0)

Asymptotes : None

Extreme Points : Minimum \frac{1}{2 ^{\frac{1}{l n ( 2 )}}}, \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

+1

Interval Notation

Domain : (0, \infty)

Range : \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}, \infty

Solution steps

Domain of

x lo g_{2} (x) : x > 0

Range of

x lo g_{2} (x) : f (x) \geq \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

Axis interception points of

x lo g_{2} (x) :

X Intercepts

: (1, 0)

Asymptotes of

x lo g_{2} (x) :

None

Extreme Points of

x lo g_{2} (x) :

Minimum

\frac{1}{2 ^{\frac{1}{l n ( 2 )}}}, \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

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Frequently Asked Questions (FAQ)

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