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Popular >

f(a)=a^4-a^2-2a+1

Solution

f (a) = a^{4} - a^{2} - 2 a + 1

Solution

Domain : - \infty < a < \infty

Range : f (x) \geq - 1

X Intercepts : (0.42578 \dots, 0), (1.38647 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = a^{4} - a^{2} - 2 a + 1

Extreme Points : Minimum (1, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0.42578 \dots, 0), (1.38647 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = a^{4} - a^{2} - 2 a + 1

Extreme Points of

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

Minimum

(1, - 1)

Popular Examples

f(x)=x^2+91x+137

f (x) = x^{2} + 91 x + 137

f(x)=(-1)/(4x+2)

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

f(x)=x^4-3x^3+7x^2+2x+8

f (x) = x^{4} - 3 x^{3} + 7 x^{2} + 2 x + 8

f (x) = 2 sin^{4} (x)

f (x) = - 25 x + 950

Frequently Asked Questions (FAQ)

What is the f(a)=a^4-a^2-2a+1 ?
The f(a)=a^4-a^2-2a+1 is