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Popular >

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

Solution

h (x) = \frac{x ^{2} - 4}{2}

Solution

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

Range : f (x) \geq 0

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

Asymptotes : Slant y = \frac{1}{2} x, y = - \frac{1}{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

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

Range of

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

Axis interception points of

\frac{x ^{2} - 4}{2} :

X Intercepts

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

Asymptotes of

\frac{x ^{2} - 4}{2} :

Slant

: y = \frac{1}{2} x, y = - \frac{1}{2} x

Extreme Points of

\frac{x ^{2} - 4}{2} :

Minimum

(- 2, 0),

Minimum

(2, 0)

Popular Examples

f(x)=x^2-12x+16

f (x) = x^{2} - 12 x + 16

f(x)=cosh(5x)+sinh(5x)

f (x) = cosh (5 x) + sinh (5 x)

f(x)= 1/(|x^2-4|)

f (x) = \frac{1}{∣ x ^{2} - 4 ∣}

y = x^{2} - 10 x - 14

h(x)=-(x+1)(x-7)

h (x) = - (x + 1) (x - 7)

Frequently Asked Questions (FAQ)

What is the h(x)=(sqrt(x^2-4))/2 ?
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