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Popular >

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

Solution

f (x) = \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

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

f(x)=-1/2 x+3/5

f (x) = - \frac{1}{2} x + \frac{3}{5}

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

f (x) = 3 x^{2} + 7 x + 5

y=10(x^3+4x^2+x-6)

y = 10 (x^{3} + 4 x^{2} + x - 6)

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

Frequently Asked Questions (FAQ)

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