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Popular >

y=ln(3-x^2)

Solution

y = ln (3 - x^{2})

Solution

Domain : - 3 < x < 3

Range : f (x) \leq ln (3)

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

Asymptotes : Vertical x = - 3, x = 3

Extreme Points : Maximum (0, ln (3))

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Interval Notation

Domain : (- 3, 3)

Range : (- \infty, ln (3)]

Solution steps

Domain of

ln (3 - x^{2}) : - 3 < x < 3

Range of

ln (3 - x^{2}) : f (x) \leq ln (3)

Axis interception points of

ln (3 - x^{2}) :

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, ln (3))

Asymptotes of

ln (3 - x^{2}) :

Vertical

: x = - 3, x = 3

Extreme Points of

ln (3 - x^{2}) :

Maximum

(0, ln (3))

Popular Examples

f (x) = 3 x^{2} - 5 x - 9

f (x) = ln (∣ x ∣ - 1)

y = (x^{2} - 4) (x + 1)

y = (m - 3) x + m - 4

f(x)=((x^2-x-12))/((x+3))

f (x) = \frac{( x ^{2} - x - 12 )}{( x + 3 )}

Frequently Asked Questions (FAQ)

What is the y=ln(3-x^2) ?
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