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Popular >

y=(x+4)/(x^2-16)

Solution

y = \frac{x + 4}{x ^{2} - 16}

Solution

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

Range : f (x) < - \frac{1}{8} or - \frac{1}{8} < f (x) < 0 or f (x) > 0

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

Asymptotes : Vertical x = 4, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, - \frac{1}{8}) \cup (- \frac{1}{8}, 0) \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 4}{x ^{2} - 16} : f (x) < - \frac{1}{8} or - \frac{1}{8} < f (x) < 0 or f (x) > 0

Axis interception points of

\frac{x + 4}{x ^{2} - 16} :

Y Intercepts

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

Asymptotes of

\frac{x + 4}{x ^{2} - 16} :

Vertical

: x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{x + 4}{x ^{2} - 16} :

None

Popular Examples

y=ln(40000-x^2)+sin(x^{100})

y = ln (40000 - x^{2}) + sin (x^{100})

f (x) = ln (3 x + 4)

y = 2 x - 6

y = 3 x^{2} - 5 x + 1

g (x) = ln (3 x)

Frequently Asked Questions (FAQ)

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