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Popular >

f(x)=x^4-x^2+5

Solution

f (x) = x^{4} - x^{2} + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{19}{4}

Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{2}, \frac{19}{4}), Maximum (0, 5), Minimum (\frac{1}{2}, \frac{19}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{19}{4}, \infty)

Solution steps

Domain of

x^{4} - x^{2} + 5 : - \infty < x < \infty

Range of

x^{4} - x^{2} + 5 : f (x) \geq \frac{19}{4}

Axis interception points of

x^{4} - x^{2} + 5 :

Y Intercepts

: (0, 5)

Asymptotes of

x^{4} - x^{2} + 5 :

None

Extreme Points of

x^{4} - x^{2} + 5 :

Minimum

(- \frac{1}{2}, \frac{19}{4}),

Maximum

(0, 5),

Minimum

(\frac{1}{2}, \frac{19}{4})

Popular Examples

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f(x)=-1/2 (1/2)^x+7

f (x) = - \frac{1}{2} (\frac{1}{2})^{x} + 7

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-x^2+5 ?
The f(x)=x^4-x^2+5 is