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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, - 4)

Asymptotes : Horizontal y = 1

Extreme Points : Minimum (0, - 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 1)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 4)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Minimum

(0, - 4)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-4)/(x^2+1) ?
The f(x)=(x^2-4)/(x^2+1) is