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Popular Functions >

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

Solution

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

Solution

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

Range : f (x) \leq 0 or f (x) > 1

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

Asymptotes : Vertical x = - 2, x = 2, Horizontal y = 1

Extreme Points : Maximum (0, 0)

+1

Interval Notation

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

Range : (- \infty, 0] \cup (1, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2}}{x ^{2} - 4} : f (x) \leq 0 or f (x) > 1

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Horizontal

: y = 1

Extreme Points of

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

Maximum

(0, 0)

Graph

Popular Examples

intercepts of f(x)=-x^2+8x+2

intercepts of (3x)/((x+2)^2)

domain of f(x)=((sqrt(x)))/(2x^2+x-1)

domain of f(x)=(2x^2+2x-4)/(x^2+x)

domain of (x-3)/(x+2)

Frequently Asked Questions (FAQ)

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