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Popular >

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

Solution

y = \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)=(2x+7)/(x+2)

f (x) = \frac{2 x + 7}{x + 2}

f(x)=2x^3+5x^2+x-2

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

y = 9 x^{2} - 6 x + 1

f(x)= 1/(sin(x-[x]))

f (x) = \frac{1}{sin ( x - [ x ] )}

f(x)=ln(*ln(x))

f (x) = ln (\cdot ln (x))

Frequently Asked Questions (FAQ)

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