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Popular >

y=(x^4)/(16)+1/(2x^2)

Solution

y = \frac{x ^{4}}{16} + \frac{1}{2 x ^{2}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq \frac{3}{4 \cdot 2 ^{\frac{2}{3}}}

Intercepts : None

Asymptotes : Vertical x = 0

+1

Interval Notation

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

Range : [\frac{3}{4 2 ^{\frac{2}{3}}}, \infty)

Solution steps

Domain of

\frac{x ^{4}}{16} + \frac{1}{2 x ^{2}} : x < 0 or x > 0

Range of

\frac{x ^{4}}{16} + \frac{1}{2 x ^{2}} : f (x) \geq \frac{3}{4 \cdot 2 ^{\frac{2}{3}}}

Axis interception points of

\frac{x ^{4}}{16} + \frac{1}{2 x ^{2}} :

None

Asymptotes of

\frac{x ^{4}}{16} + \frac{1}{2 x ^{2}} :

Vertical

: x = 0

Extreme Points of

\frac{x ^{4}}{16} + \frac{1}{2 x ^{2}} :

Minimum

Minimum

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g (x) = \frac{( x + 3 )}{( x ^{2} - 64 )}

y = 5 x^{2} - 4

Frequently Asked Questions (FAQ)

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