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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} - 2 : - \infty < x < \infty

Range of

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

Axis interception points of

x^{2} - 2 :

X Intercepts

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

Y Intercepts

: (0, 2)

Asymptotes of

x^{2} - 2 :

None

Extreme Points of

x^{2} - 2 :

Minimum

(- 2, 0),

Maximum

(0, 2),

Minimum

(2, 0)

Popular Examples

g(x)=sqrt(1-x^2)

g (x) = 1 - x^{2}

f (t) = t^{2} - 3 t + 5

f(x)=ln(x)-cos(x)

f (x) = ln (x) - cos (x)

f(t)=(e^{-2t}-cos(t))/t

f (t) = \frac{e ^{- 2 t} - cos ( t )}{t}

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

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

Frequently Asked Questions (FAQ)

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