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Popular >

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

Solution

f (x) = 1 - (∣ x ∣ - 1)^{2}

Solution

Domain : - 2 \leq x \leq 2

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : [- 2, 2]

Range : [0, 1]

Solution steps

Domain of

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

Range of

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

Axis interception points of

1 - (∣ x ∣ - 1)^{2} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

1 - (∣ x ∣ - 1)^{2} :

None

Extreme Points of

1 - (∣ x ∣ - 1)^{2} :

Minimum

(- 2, 0),

Maximum

(- 1, 1),

Minimum

(0, 0),

Maximum

(1, 1),

Minimum

(2, 0)

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Frequently Asked Questions (FAQ)

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