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Popular >

f(x)=|x^2-4|

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (- 2, 0), (2, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (0, 4), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} - 4 : - \infty < x < \infty

Range of

x^{2} - 4 : f (x) \geq 0

Axis interception points of

x^{2} - 4 :

X Intercepts

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

Y Intercepts

: (0, 4)

Asymptotes of

x^{2} - 4 :

None

Extreme Points of

x^{2} - 4 :

Minimum

(- 2, 0),

Maximum

(0, 4),

Minimum

(2, 0)

Popular Examples

f (x) = x^{2} - 6 x + 25

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f (s) = s^{2} + 2 s + 2

f (x) = x - 6

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

Frequently Asked Questions (FAQ)

What is the f(x)=|x^2-4| ?
The f(x)=|x^2-4| is