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Popular >

y=(x^2-1)/(x^2+4)

Solution

y = \frac{x ^{2} - 1}{x ^{2} + 4}

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 1

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

\frac{x ^{2} - 1}{x ^{2} + 4} : - \infty < x < \infty

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

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

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Minimum

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

Popular Examples

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y= 1/(7t^3)-(t^{-4})/5+2ln(3)

y = \frac{1}{7 t ^{3}} - \frac{t ^{- 4}}{5} + 2 ln (3)

f(x)=3x^2-5x^{(-3)}+6x^5

f (x) = 3 x^{2} - 5 x^{(- 3)} + 6 x^{5}

f (x) = 6 x^{2} - 5 x - 7

y=sec^2(t)-tan^2(t)

y = sec^{2} (t) - tan^{2} (t)

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