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Popular >

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

Solution

y = \frac{x ^{2} - 4}{x ^{2} + 4}

Solution

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) < 1

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, - 1)

Asymptotes : Horizontal y = 1

Extreme Points : Minimum (0, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1)

Solution steps

Domain of

\frac{x ^{2} - 4}{x ^{2} + 4} : - \infty < x < \infty

Range of

\frac{x ^{2} - 4}{x ^{2} + 4} : - 1 \leq f (x) < 1

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Minimum

(0, - 1)

Popular Examples

f(x)=(x^2+x-6)/(x^2-4x+3)

f (x) = \frac{x ^{2} + x - 6}{x ^{2} - 4 x + 3}

f(x)= 1/3 x^{3/2}-sqrt(x),3<= x<= 7

f (x) = \frac{1}{3} x^{\frac{3}{2}} - x, 3 \leq x \leq 7

f(θ)=-12cos(θ)

f (θ) = - 12 cos (θ)

f(x)=(5x^3-8)/4

f (x) = \frac{5 x ^{3} - 8}{4}

f (x) = \frac{- 2}{5}

Frequently Asked Questions (FAQ)

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