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Popular Calculus >

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

Solution

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

Solution

Domain : - 2 \leq x \leq 2

Range : 0 \leq f (x) \leq 2

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

Asymptotes : None

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

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Interval Notation

Domain : [- 2, 2]

Range : [0, 2]

Solution steps

Domain of

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

Range of

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

Axis interception points of

2 - x^{2} :

X Intercepts

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

Y Intercepts

: (0, 2)

Asymptotes of

2 - x^{2} :

None

Extreme Points of

2 - x^{2} :

Minimum

(- 2, 0),

Maximum

(0, 2),

Minimum

(2, 0)

Graph

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Frequently Asked Questions (FAQ)

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