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Popular >

f(x)=(27x^2)/((1-x)^3)

Solution

f (x) = \frac{27 x ^{2}}{( 1 - x ) ^{3}}

Solution

Domain : x < 1 or x > 1

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

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Maximum (- 2, 4), Minimum (0, 0)

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{27 x ^{2}}{( 1 - x ) ^{3}} : x < 1 or x > 1

Range of

\frac{27 x ^{2}}{( 1 - x ) ^{3}} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{27 x ^{2}}{( 1 - x ) ^{3}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{27 x ^{2}}{( 1 - x ) ^{3}} :

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{27 x ^{2}}{( 1 - x ) ^{3}} :

Maximum

(- 2, 4),

Minimum

(0, 0)

Popular Examples

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f(N)=log_{16}(N)

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f(x)= 1/(4x^2-4x-3)

f (x) = \frac{1}{4 x ^{2} - 4 x - 3}

f(x)=x^3-x^2-2x-1

f (x) = x^{3} - x^{2} - 2 x - 1

Frequently Asked Questions (FAQ)

What is the f(x)=(27x^2)/((1-x)^3) ?
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