en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=xsqrt(2-x^2)

Solution

y = x 2 - x^{2}

Solution

Domain : - 2 \leq x \leq 2

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

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

Asymptotes : None

Extreme Points : Maximum (- 2, 0), Minimum (- 1, - 1), Maximum (1, 1), Minimum (2, 0)

+1

Interval Notation

Domain : [- 2, 2]

Range : [- 1, 1]

Solution steps

Domain of

x 2 - x^{2} : - 2 \leq x \leq 2

Range of

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

Axis interception points of

x 2 - x^{2} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x 2 - x^{2} :

None

Extreme Points of

x 2 - x^{2} :

Maximum

(- 2, 0),

Minimum

(- 1, - 1),

Maximum

(1, 1),

Minimum

(2, 0)

Popular Examples

f(x)=(2x+7)/(-3x-1)

f (x) = \frac{2 x + 7}{- 3 x - 1}

f(x)=sinh(x)cosh(x)

f (x) = sinh (x) cosh (x)

f(x)=(-3x^2+3x)/(5x^2-30x+25)

f (x) = \frac{- 3 x ^{2} + 3 x}{5 x ^{2} - 30 x + 25}

f (x) = x^{2} - 4 x - 16

P(t)=2t^3-24t^2+1200

P (t) = 2 t^{3} - 24 t^{2} + 1200

Frequently Asked Questions (FAQ)

What is the y=xsqrt(2-x^2) ?
The y=xsqrt(2-x^2) is