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Popular >

f(x)=(8x+16)/((x-1)^4)

Solution

f (x) = \frac{8 x + 16}{( x - 1 ) ^{4}}

Solution

Domain : x < 1 or x > 1

Range : f (x) \geq - \frac{1}{32}

X Intercepts : (- 2, 0), Y Intercepts : (0, 16)

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Minimum (- 3, - \frac{1}{32})

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, \infty)

Range : [- \frac{1}{32}, \infty)

Solution steps

Domain of

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

Range of

\frac{8 x + 16}{( x - 1 ) ^{4}} : f (x) \geq - \frac{1}{32}

Axis interception points of

\frac{8 x + 16}{( x - 1 ) ^{4}} :

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, 16)

Asymptotes of

\frac{8 x + 16}{( x - 1 ) ^{4}} :

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{8 x + 16}{( x - 1 ) ^{4}} :

Minimum

(- 3, - \frac{1}{32})

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Frequently Asked Questions (FAQ)

What is the f(x)=(8x+16)/((x-1)^4) ?
The f(x)=(8x+16)/((x-1)^4) is