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Popular >

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

Solution

f (x) = \frac{16}{x ^{2} ( x - 4 )}

Solution

Domain : x < 0 or 0 < x < 4 or x > 4

Range : f (x) < 0 or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = 0, x = 4, Horizontal y = 0

Extreme Points : Maximum (\frac{8}{3}, - \frac{27}{16})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 4) \cup (4, \infty)

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{16}{x ^{2} ( x - 4 )} :

None

Asymptotes of

\frac{16}{x ^{2} ( x - 4 )} :

Vertical

: x = 0, x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{16}{x ^{2} ( x - 4 )} :

Maximum

(\frac{8}{3}, - \frac{27}{16})

Popular Examples

f(x)=x^3+4x^2-5x-20

f (x) = x^{3} + 4 x^{2} - 5 x - 20

f (x) = 8 x^{2} + 1

f(x)=-x^2+10x-14

f (x) = - x^{2} + 10 x - 14

y= 1/4 (x+12)^2+7

y = \frac{1}{4} (x + 12)^{2} + 7

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

Frequently Asked Questions (FAQ)

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