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Popular >

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

Solution

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

Solution

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

Range : f (x) < - 1 or f (x) \geq - \frac{1}{4}

X Intercepts : (1, 0), (- 1, 0), Y Intercepts : (0, - \frac{1}{4})

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

Extreme Points : Minimum (0, - \frac{1}{4})

+1

Interval Notation

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

Range : (- \infty, - 1) \cup [- \frac{1}{4}, \infty)

Solution steps

Domain of

\frac{1 - x ^{2}}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{1 - x ^{2}}{x ^{2} - 4} : f (x) < - 1 or f (x) \geq - \frac{1}{4}

Axis interception points of

\frac{1 - x ^{2}}{x ^{2} - 4} :

X Intercepts

: (1, 0), (- 1, 0),

Y Intercepts

: (0, - \frac{1}{4})

Asymptotes of

\frac{1 - x ^{2}}{x ^{2} - 4} :

Vertical

: x = - 2, x = 2,

Horizontal

: y = - 1

Extreme Points of

\frac{1 - x ^{2}}{x ^{2} - 4} :

Minimum

(0, - \frac{1}{4})

Popular Examples

y = 2 cos (π) x

y = - 2 x + \frac{1}{2}

f(x)=-x^2+8x-18

f (x) = - x^{2} + 8 x - 18

f(x)=2x^2+4x-30

f (x) = 2 x^{2} + 4 x - 30

solvefor r,r=4cos(5θ)solve for

r, r = 4 cos (5 θ)

Frequently Asked Questions (FAQ)

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