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Popular Functions >

f(x)=sqrt(4x^2-16)

Solution

f (x) = 4 x^{2} - 16

Solution

Domain : x \leq - 2 or x \geq 2

Range : f (x) \geq 0

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

Asymptotes : Slant y = 2 x, y = - 2 x

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

+1

Interval Notation

Domain : (- \infty, - 2] \cup [2, \infty)

Range : [0, \infty)

Solution steps

Domain of

4 x^{2} - 16 : x \leq - 2 or x \geq 2

Range of

4 x^{2} - 16 : f (x) \geq 0

Axis interception points of

4 x^{2} - 16 :

X Intercepts

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

Asymptotes of

4 x^{2} - 16 :

Slant

: y = 2 x, y = - 2 x

Extreme Points of

4 x^{2} - 16 :

Minimum

(- 2, 0),

Minimum

(2, 0)

Graph

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f(x)=(sqrt(x^2-4))/(x-2)

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(4x^2-16) ?
The f(x)=sqrt(4x^2-16) is