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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{9}{8}

X Intercepts : (3, 0), (- 3, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{2}, - \frac{9}{8}), Maximum (0, 0), Minimum (\frac{3}{2}, - \frac{9}{8})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{9}{8}, \infty)

Solution steps

Domain of

\frac{x ^{4} - 3 x ^{2}}{2} : - \infty < x < \infty

Range of

\frac{x ^{4} - 3 x ^{2}}{2} : f (x) \geq - \frac{9}{8}

Axis interception points of

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

X Intercepts

: (3, 0), (- 3, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{3}{2}, - \frac{9}{8}),

Maximum

(0, 0),

Minimum

(\frac{3}{2}, - \frac{9}{8})

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^4-3x^2)/2 ?
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