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Popular >

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

Solution

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

Solution

Domain : - 1 \leq x \leq 1

Range : 0 \leq f (x) \leq 1

X Intercepts : (1, 0), (- 1, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- 1, 0), Maximum (0, 1), Minimum (1, 0)

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Solution steps

Domain of

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

Range of

(1 - x^{2})^{\frac{1}{2}} : 0 \leq f (x) \leq 1

Axis interception points of

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

X Intercepts

: (1, 0), (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 1, 0),

Maximum

(0, 1),

Minimum

(1, 0)

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Frequently Asked Questions (FAQ)

What is the y=(1-x^2)^{1/2} ?
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