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Popular Functions >

f(x)=x^4+4x^3-6x^2-4x+5

Solution

f (x) = x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 36 - 243

X Intercepts : (- 1, 0), (1, 0), (- 5, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Minimum (- 2 - 3, - 36 - 243), Maximum (- 2 + 3, 243 - 36), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 36 - 243, \infty)

Solution steps

Domain of

x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5 : - \infty < x < \infty

Range of

x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5 : f (x) \geq - 36 - 243

Axis interception points of

x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5 :

X Intercepts

: (- 1, 0), (1, 0), (- 5, 0),

Y Intercepts

: (0, 5)

Asymptotes of

x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5 :

None

Extreme Points of

x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5 :

Minimum

(- 2 - 3, - 36 - 243),

Maximum

(- 2 + 3, 243 - 36),

Minimum

(1, 0)

Graph

Popular Examples

f(x)=x^3-1.5x^2,-1<= x<= 2

f(x)=(x^4+3)/(6x)

f(x)=log_{10}((3+x)/(3-x))

f(x)=-1/3 x+sqrt(2)

Frequently Asked Questions (FAQ)

What is the f(x)=x^4+4x^3-6x^2-4x+5 ?
The f(x)=x^4+4x^3-6x^2-4x+5 is