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Popular >

y=(x^2+2x^3-1)/(4x^4)

Solution

y = \frac{x ^{2} + 2 x ^{3} - 1}{4 x ^{4}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq \frac{1}{2}

X Intercepts : (0.65729 \dots, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (1, \frac{1}{2})

+1

Interval Notation

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

Range : (- \infty, \frac{1}{2}]

Solution steps

Domain of

\frac{x ^{2} + 2 x ^{3} - 1}{4 x ^{4}} : x < 0 or x > 0

Range of

\frac{x ^{2} + 2 x ^{3} - 1}{4 x ^{4}} : f (x) \leq \frac{1}{2}

Axis interception points of

\frac{x ^{2} + 2 x ^{3} - 1}{4 x ^{4}} :

X Intercepts

: (0.65729 \dots, 0)

Asymptotes of

\frac{x ^{2} + 2 x ^{3} - 1}{4 x ^{4}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} + 2 x ^{3} - 1}{4 x ^{4}} :

Maximum

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

Popular Examples

f(x)=-x^4+3x^2+2

f (x) = - x^{4} + 3 x^{2} + 2

f(x)=x^4*(4-6x^2-3x^2)

f (x) = x^{4} \cdot (4 - 6 x^{2} - 3 x^{2})

f (x) = 5 x + 23

f (x) = 84 + 2 x - x^{3}

f(x)=x^2-3sin(x)cos(x)

f (x) = x^{2} - 3 sin (x) cos (x)

Frequently Asked Questions (FAQ)

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