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Popular >

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

Solution

f (x) = (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)

+1

Interval Notation

Domain : [- 1, 1]

Range : [0, 1]

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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\frac{\partial}{\partial x} (ln (x + y) + x \cdot cos (y))

Frequently Asked Questions (FAQ)

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