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Popular >

y=x^4-x^2+1

Solution

y = x^{4} - x^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{3}{4}

Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{3}{4}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{4} - x^{2} + 1 :

Y Intercepts

: (0, 1)

Asymptotes of

x^{4} - x^{2} + 1 :

None

Extreme Points of

x^{4} - x^{2} + 1 :

Minimum

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

Maximum

(0, 1),

Minimum

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

Popular Examples

y=-16x^2+213x+68

y = - 16 x^{2} + 213 x + 68

F(b)=((b-b^2))/((1+b^2))

F (b) = \frac{( b - b ^{2} )}{( 1 + b ^{2} )}

y = - \frac{1}{4} x - 5

y = - 2 (x + 3)^{2} + 2

f(x)=(sqrt(x-1))/(x^2-16)

f (x) = \frac{x - 1}{x ^{2} - 16}

Frequently Asked Questions (FAQ)

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