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Popular >

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

Solution

f (x) = ln (4 - x^{2})

Solution

Domain : - 2 < x < 2

Range : f (x) \leq 2 ln (2)

X Intercepts : (3, 0), (- 3, 0), Y Intercepts : (0, 2 ln (2))

Asymptotes : Vertical x = - 2, x = 2

Extreme Points : Maximum (0, 2 ln (2))

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Interval Notation

Domain : (- 2, 2)

Range : (- \infty, 2 ln (2)]

Solution steps

Domain of

ln (4 - x^{2}) : - 2 < x < 2

Range of

ln (4 - x^{2}) : f (x) \leq 2 ln (2)

Axis interception points of

ln (4 - x^{2}) :

X Intercepts

: (3, 0), (- 3, 0),

Y Intercepts

: (0, 2 ln (2))

Asymptotes of

ln (4 - x^{2}) :

Vertical

: x = - 2, x = 2

Extreme Points of

ln (4 - x^{2}) :

Maximum

(0, 2 ln (2))

Popular Examples

integral of t^2sin(βt)

\int t^{2} sin (βt) d t

integral of x(x^2+3)^{100}

\int x (x^{2} + 3)^{100} d x

derivative of xln(1-x)

\frac{d}{d x} (x ln (1 - x))

limit as n approaches infinity of 2^n

n \to \infty lim (2^{n})

(\partial)/(\partial x)(e^{3x})

\frac{\partial}{\partial x} (e^{3 x})

Frequently Asked Questions (FAQ)

What is the f(x)=ln(4-x^2) ?
The f(x)=ln(4-x^2) is