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Popular >

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

Solution

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

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

Range : f (x) \leq 0 or f (x) > 4

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

Asymptotes : Vertical x = - 2, x = 2, Horizontal y = 4

Extreme Points : Maximum (0, 0)

+1

Interval Notation

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

Range : (- \infty, 0] \cup (4, \infty)

Solution steps

Domain of

\frac{4 x ^{2}}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{4 x ^{2}}{x ^{2} - 4} : f (x) \leq 0 or f (x) > 4

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Horizontal

: y = 4

Extreme Points of

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

Maximum

(0, 0)

Popular Examples

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

f(s)= 1/(s^2+2s+2)

f (s) = \frac{1}{s ^{2} + 2 s + 2}

f(x)=(x+3)(x-1)

f (x) = (x + 3) (x - 1)

y = 7 x + 6

f(x)=-2x^2+4x-1

f (x) = - 2 x^{2} + 4 x - 1

Frequently Asked Questions (FAQ)

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