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Popular >

f(x)= 1/(8(3x^5-20x^3+16))

Solution

f (x) = \frac{1}{8 ( 3 x ^{5} - 20 x ^{3} + 16 )}

Solution

Domain : x < - 2.63766 \dots or - 2.63766 \dots < x < 0.97743 \dots or 0.97743 \dots < x < 2.51633 \dots or x > 2.51633 \dots

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

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

Asymptotes : Vertical x = - 2.63766 \dots, x = 0.97743 \dots, x = 2.51633 \dots, Horizontal y = 0

Extreme Points : Minimum (- 2, \frac{1}{640}), Saddle (0, \frac{1}{128}), Maximum (2, - \frac{1}{384})

+1

Interval Notation

Domain : (- \infty, - 2.63766 \dots) \cup (- 2.63766 \dots, 0.97743 \dots) \cup (0.97743 \dots, 2.51633 \dots) \cup (2.51633 \dots, \infty)

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

Solution steps

Domain of

\frac{1}{8 ( 3 x ^{5} - 20 x ^{3} + 16 )} : x < - 2.63766 \dots or - 2.63766 \dots < x < 0.97743 \dots or 0.97743 \dots < x < 2.51633 \dots or x > 2.51633 \dots

Range of

\frac{1}{8 ( 3 x ^{5} - 20 x ^{3} + 16 )} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{8 ( 3 x ^{5} - 20 x ^{3} + 16 )} :

Y Intercepts

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

Asymptotes of

\frac{1}{8 ( 3 x ^{5} - 20 x ^{3} + 16 )} :

Vertical

: x = - 2.63766 \dots, x = 0.97743 \dots, x = 2.51633 \dots,

Horizontal

: y = 0

Extreme Points of

\frac{1}{8 ( 3 x ^{5} - 20 x ^{3} + 16 )} :

Minimum

(- 2, \frac{1}{640}),

Saddle

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

Maximum

(2, - \frac{1}{384})

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Frequently Asked Questions (FAQ)

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