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Popular >

f(x)=((x-1)^4)/((x-2)^7)

Solution

f (x) = \frac{( x - 1 ) ^{4}}{( x - 2 ) ^{7}}

Solution

Domain : x < 2 or x > 2

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

X Intercepts : (1, 0), Y Intercepts : (0, - \frac{1}{128})

Asymptotes : Vertical x = 2, Horizontal y = 0

Extreme Points : Minimum (- \frac{1}{3}, - \frac{6912}{823543}), Maximum (1, 0)

+1

Interval Notation

Domain : (- \infty, 2) \cup (2, \infty)

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

Solution steps

Domain of

\frac{( x - 1 ) ^{4}}{( x - 2 ) ^{7}} : x < 2 or x > 2

Range of

\frac{( x - 1 ) ^{4}}{( x - 2 ) ^{7}} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{( x - 1 ) ^{4}}{( x - 2 ) ^{7}} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, - \frac{1}{128})

Asymptotes of

\frac{( x - 1 ) ^{4}}{( x - 2 ) ^{7}} :

Vertical

: x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{( x - 1 ) ^{4}}{( x - 2 ) ^{7}} :

Minimum

(- \frac{1}{3}, - \frac{6912}{823543}),

Maximum

(1, 0)

Popular Examples

expand-(1-16x^3)/((1+8x^3)^2)expand

- \frac{1 - 16 x ^{3}}{( 1 + 8 x ^{3} ) ^{2}}

expand (x-pi/4)(x-pi/4-h)(x-pi/4-2h)expand

(x - \frac{π}{4}) (x - \frac{π}{4} - h) (x - \frac{π}{4} - 2 h)

expand (e^{2t}+e^{-2t})^2 expand

(e^{2 t} + e^{- 2 t})^{2}

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\frac{54}{( s - 4 ) ^{3}}

expand 4(y'+k)^2 expand

4 (y^{'} + k)^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=((x-1)^4)/((x-2)^7) ?
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