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Popular >

y= 1/4 x^2-1/2 ln(x)

Solution

y = \frac{1}{4} x^{2} - \frac{1}{2} ln (x)

Solution

Domain : x > 0

Range : f (x) \geq \frac{1}{4}

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (1, \frac{1}{4})

+1

Interval Notation

Domain : (0, \infty)

Range : [\frac{1}{4}, \infty)

Solution steps

Domain of

\frac{1}{4} x^{2} - \frac{1}{2} ln (x) : x > 0

Range of

\frac{1}{4} x^{2} - \frac{1}{2} ln (x) : f (x) \geq \frac{1}{4}

Axis interception points of

\frac{1}{4} x^{2} - \frac{1}{2} ln (x) :

None

Asymptotes of

\frac{1}{4} x^{2} - \frac{1}{2} ln (x) :

Vertical

: x = 0

Extreme Points of

\frac{1}{4} x^{2} - \frac{1}{2} ln (x) :

Minimum

(1, \frac{1}{4})

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Frequently Asked Questions (FAQ)

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