What is the y=4x^4+1/3 x^3+x+1 ?

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y=4x^4+1/3 x^3+x+1

y = 4 x^{4} + \frac{1}{3} x^{3} + x + 1

Domain : - \infty < x < \infty

Range : f (x) \geq 0.67976 \dots

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- 0.41881 \dots, 0.67976 \dots)

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

4 x^{4} + \frac{1}{3} x^{3} + x + 1 : - \infty < x < \infty

Range of

4 x^{4} + \frac{1}{3} x^{3} + x + 1 : f (x) \geq 0.67976 \dots

Axis interception points of

4 x^{4} + \frac{1}{3} x^{3} + x + 1 :

Y Intercepts

: (0, 1)

Asymptotes of

4 x^{4} + \frac{1}{3} x^{3} + x + 1 :

None

Extreme Points of

4 x^{4} + \frac{1}{3} x^{3} + x + 1 :

Minimum

(- 0.41881 \dots, 0.67976 \dots)

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