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Popular >

f(x)=-(64x(x+2))/((x-2)^5)

Solution

f (x) = - \frac{64 x ( x + 2 )}{( x - 2 ) ^{5}}

Solution

Domain : x < 2 or x > 2

Range : - \infty < f (x) < \infty

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

Asymptotes : Vertical x = 2, Horizontal y = 0

Extreme Points : Maximum (- \frac{2 ( 3 + 6 )}{3}, - \frac{20736 6 + 41472}{( - 12 - 2 6 ) ^{5}}), Minimum (- \frac{2 ( 3 - 6 )}{3}, \frac{20736 6 - 41472}{( 2 6 - 12 ) ^{5}})

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

- \frac{64 x ( x + 2 )}{( x - 2 ) ^{5}} : x < 2 or x > 2

Range of

- \frac{64 x ( x + 2 )}{( x - 2 ) ^{5}} : - \infty < f (x) < \infty

Axis interception points of

- \frac{64 x ( x + 2 )}{( x - 2 ) ^{5}} :

X Intercepts

: (0, 0), (- 2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- \frac{64 x ( x + 2 )}{( x - 2 ) ^{5}} :

Vertical

: x = 2,

Horizontal

: y = 0

Extreme Points of

- \frac{64 x ( x + 2 )}{( x - 2 ) ^{5}} :

Maximum

(- \frac{2 ( 3 + 6 )}{3}, - \frac{20736 6 + 41472}{( - 12 - 2 6 ) ^{5}}),

Minimum

(- \frac{2 ( 3 - 6 )}{3}, \frac{20736 6 - 41472}{( 2 6 - 12 ) ^{5}})

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Frequently Asked Questions (FAQ)

What is the f(x)=-(64x(x+2))/((x-2)^5) ?
The f(x)=-(64x(x+2))/((x-2)^5) is