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Popular Functions >

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

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, 0) \cup (0, \frac{1}{8}) \cup (\frac{1}{8}, \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) < 0 or 0 < f (x) < \frac{1}{8} or f (x) > \frac{1}{8}

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

Graph

Popular Examples

f(n)=(1+n^2)^{1/n}

f(x)=2x-4sin(x),0<= x<= 2pi

f(x)=(ln(x^2))/(sqrt(16-x^4))

P(x)=x^3-39x-70

Frequently Asked Questions (FAQ)

What is the y=(x-4)/(x^2-16) ?
The y=(x-4)/(x^2-16) is