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Popular >

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

Solution

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

Solution

Domain : - \infty < a < \infty

Range : f (x) \geq - 12.28565 \dots

X Intercepts : (0, 0), (- 2.67799 \dots, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = a^{4} - 3 a^{2} + a^{3} + 4 a

Extreme Points : Minimum (- 1.85170 \dots, - 12.28565 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 12.28565 \dots, \infty)

Solution steps

Domain of

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

Range of

a^{4} - 3 a^{2} + a^{3} + 4 a : f (x) \geq - 12.28565 \dots

Axis interception points of

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

X Intercepts

: (0, 0), (- 2.67799 \dots, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = a^{4} - 3 a^{2} + a^{3} + 4 a

Extreme Points of

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

Minimum

(- 1.85170 \dots, - 12.28565 \dots)

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Frequently Asked Questions (FAQ)

What is the f(a)=(a^4-3a^2)+(a^3+4a) ?
The f(a)=(a^4-3a^2)+(a^3+4a) is