en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=sqrt(1-x^2)+x^2

Solution

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

Solution

Domain : - 1 \leq x \leq 1

Range : 1 \leq f (x) \leq \frac{5}{4}

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- 1, 1), Maximum (- \frac{3}{2}, \frac{5}{4}), Minimum (0, 1), Maximum (\frac{3}{2}, \frac{5}{4}), Minimum (1, 1)

+1

Interval Notation

Domain : [- 1, 1]

Range : [1, \frac{5}{4}]

Solution steps

Domain of

1 - x^{2} + x^{2} : - 1 \leq x \leq 1

Range of

1 - x^{2} + x^{2} : 1 \leq f (x) \leq \frac{5}{4}

Axis interception points of

1 - x^{2} + x^{2} :

Y Intercepts

: (0, 1)

Asymptotes of

1 - x^{2} + x^{2} :

None

Extreme Points of

1 - x^{2} + x^{2} :

Minimum

(- 1, 1),

Maximum

(- \frac{3}{2}, \frac{5}{4}),

Minimum

(0, 1),

Maximum

(\frac{3}{2}, \frac{5}{4}),

Minimum

(1, 1)

Graph

Popular Examples

r(x)=(x^3-2x^2-3x)/(x-3)

r (x) = \frac{x ^{3} - 2 x ^{2} - 3 x}{x - 3}

y = 4 + 3 x

f(x)=(2x-7)/(6x^2-5x+1)

f (x) = \frac{2 x - 7}{6 x ^{2} - 5 x + 1}

f(x)= x/2-sin(x)

f (x) = \frac{x}{2} - sin (x)

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

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

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(1-x^2)+x^2 ?
The f(x)=sqrt(1-x^2)+x^2 is