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Popular >

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

Solution

f (x) = \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})

Popular Examples

f (x) = 9 x^{2} + 3 x

y=-2tan(1/2 x-pi)+3

y = - 2 tan (\frac{1}{2} x - π) + 3

y = 3 x^{2} + 30 x + 71

f(x)=x^4+23x^2+50x+26

f (x) = x^{4} + 23 x^{2} + 50 x + 26

f(x)=(x+3)(x-5)

f (x) = (x + 3) (x - 5)

Frequently Asked Questions (FAQ)

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