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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{4}

X Intercepts : (2, 0), (- 2, 0), (1, 0), (- 1, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{2}, - \frac{1}{4}), Maximum (0, 2), Minimum (\frac{3}{2}, - \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{4}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{4} - 3 x^{2} + 2 :

X Intercepts

: (2, 0), (- 2, 0), (1, 0), (- 1, 0),

Y Intercepts

: (0, 2)

Asymptotes of

x^{4} - 3 x^{2} + 2 :

None

Extreme Points of

x^{4} - 3 x^{2} + 2 :

Minimum

(- \frac{3}{2}, - \frac{1}{4}),

Maximum

(0, 2),

Minimum

(\frac{3}{2}, - \frac{1}{4})

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Frequently Asked Questions (FAQ)

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