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Popular >

f(x)= 1/4 x^4-3/2 x^2

Solution

f (x) = \frac{1}{4} x^{4} - \frac{3}{2} x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{9}{4}

X Intercepts : (6, 0), (- 6, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 3, - \frac{9}{4}), Maximum (0, 0), Minimum (3, - \frac{9}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{9}{4}, \infty)

Solution steps

Domain of

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

Range of

\frac{1}{4} x^{4} - \frac{3}{2} x^{2} : f (x) \geq - \frac{9}{4}

Axis interception points of

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

X Intercepts

: (6, 0), (- 6, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 3, - \frac{9}{4}),

Maximum

(0, 0),

Minimum

(3, - \frac{9}{4})

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y = 2 x^{2} + 2 x + 1

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f (x) = x - 1 - 1

Frequently Asked Questions (FAQ)

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