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Popular >

f(x)=(x^2+1)/(x^2-16)

Solution

f (x) = \frac{x ^{2} + 1}{x ^{2} - 16}

Solution

Domain : x < - 4 or - 4 < x < 4 or x > 4

Range : f (x) \leq - \frac{1}{16} or f (x) > 1

Y Intercepts : (0, - \frac{1}{16})

Asymptotes : Vertical x = - 4, x = 4, Horizontal y = 1

Extreme Points : Maximum (0, - \frac{1}{16})

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 4) \cup (4, \infty)

Range : (- \infty, - \frac{1}{16}] \cup (1, \infty)

Solution steps

Domain of

\frac{x ^{2} + 1}{x ^{2} - 16} : x < - 4 or - 4 < x < 4 or x > 4

Range of

\frac{x ^{2} + 1}{x ^{2} - 16} : f (x) \leq - \frac{1}{16} or f (x) > 1

Axis interception points of

\frac{x ^{2} + 1}{x ^{2} - 16} :

Y Intercepts

: (0, - \frac{1}{16})

Asymptotes of

\frac{x ^{2} + 1}{x ^{2} - 16} :

Vertical

: x = - 4, x = 4,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} + 1}{x ^{2} - 16} :

Maximum

(0, - \frac{1}{16})

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Frequently Asked Questions (FAQ)

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