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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{15}{4}

Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{2}, \frac{15}{4}), Maximum (0, 4), Minimum (\frac{1}{2}, \frac{15}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{15}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{4} - x^{2} + 4 : f (x) \geq \frac{15}{4}

Axis interception points of

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

Y Intercepts

: (0, 4)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{1}{2}, \frac{15}{4}),

Maximum

(0, 4),

Minimum

(\frac{1}{2}, \frac{15}{4})

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Frequently Asked Questions (FAQ)

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