What is the f(x)=(x^3+3x)(2x+4) ?

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f(x)=(x^3+3x)(2x+4)

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

Domain : - \infty < x < \infty

Range : f (x) \geq - 8.55508 \dots

X Intercepts : (0, 0), (- 2, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 1.25637 \dots, - 8.55508 \dots)

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8.55508 \dots, \infty)

Solution steps

Domain of

(x^{3} + 3 x) (2 x + 4) : - \infty < x < \infty

Range of

(x^{3} + 3 x) (2 x + 4) : f (x) \geq - 8.55508 \dots

Axis interception points of

(x^{3} + 3 x) (2 x + 4) :

X Intercepts

: (0, 0), (- 2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(x^{3} + 3 x) (2 x + 4) :

None

Extreme Points of

(x^{3} + 3 x) (2 x + 4) :

Minimum

(- 1.25637 \dots, - 8.55508 \dots)

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\frac{\partial}{\partial x} (\frac{a - b ^{2}}{x - c ^{2}})