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Popular >

f(x,y)=(y^2-9)^{1/2}

Solution

f (x, y) = (y^{2} - 9)^{\frac{1}{2}}

Solution

Domain : y \leq - 3 or y \geq 3

Range : f (x) \geq 0

X Intercepts : (3, 0), (- 3, 0)

Asymptotes : Slant x = y, x = - y

Extreme Points : Minimum (- 3, 0), Minimum (3, 0)

+1

Interval Notation

Domain : (- \infty, - 3] \cup [3, \infty)

Range : [0, \infty)

Solution steps

Domain of

(y^{2} - 9)^{\frac{1}{2}} : y \leq - 3 or y \geq 3

Range of

(y^{2} - 9)^{\frac{1}{2}} : f (x) \geq 0

Axis interception points of

(y^{2} - 9)^{\frac{1}{2}} :

X Intercepts

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

Asymptotes of

(y^{2} - 9)^{\frac{1}{2}} :

Slant

: x = y, x = - y

Extreme Points of

(y^{2} - 9)^{\frac{1}{2}} :

Minimum

(- 3, 0),

Minimum

(3, 0)

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Frequently Asked Questions (FAQ)

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