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Popular >

f(x)=x^4+3x^3-38x^2+24x+64

Solution

f (x) = x^{4} + 3 x^{3} - 38 x^{2} + 24 x + 64

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 807.58232 \dots

X Intercepts : (- 1, 0), (2, 0), (4, 0), (- 8, 0), Y Intercepts : (0, 64)

Asymptotes : None

Extreme Points : Minimum (- 5.74134 \dots, - 807.58232 \dots), Maximum (0.33063 \dots, 67.90148 \dots), Minimum (3.16071 \dots, - 45.23713 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 807.58232 \dots, \infty)

Solution steps

Domain of

x^{4} + 3 x^{3} - 38 x^{2} + 24 x + 64 : - \infty < x < \infty

Range of

x^{4} + 3 x^{3} - 38 x^{2} + 24 x + 64 : f (x) \geq - 807.58232 \dots

Axis interception points of

x^{4} + 3 x^{3} - 38 x^{2} + 24 x + 64 :

X Intercepts

: (- 1, 0), (2, 0), (4, 0), (- 8, 0),

Y Intercepts

: (0, 64)

Asymptotes of

x^{4} + 3 x^{3} - 38 x^{2} + 24 x + 64 :

None

Extreme Points of

x^{4} + 3 x^{3} - 38 x^{2} + 24 x + 64 :

Minimum

(- 5.74134 \dots, - 807.58232 \dots),

Maximum

(0.33063 \dots, 67.90148 \dots),

Minimum

(3.16071 \dots, - 45.23713 \dots)

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y = e^{3 x} sin^{4} (x)

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f (x) = \frac{1}{3} x^{3} + 2 x^{2} + 3 x

Frequently Asked Questions (FAQ)

What is the f(x)=x^4+3x^3-38x^2+24x+64 ?
The f(x)=x^4+3x^3-38x^2+24x+64 is