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Popular Functions >

f(x)= 1/4 x^4-3x^3+4x^2

Solution

f (x) = \frac{1}{4} x^{4} - 3 x^{3} + 4 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 256

X Intercepts : (0, 0), (2 (3 + 5), 0), (2 (3 - 5), 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (1, \frac{5}{4}), Minimum (8, - 256)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 256, \infty)

Solution steps

Domain of

\frac{1}{4} x^{4} - 3 x^{3} + 4 x^{2} : - \infty < x < \infty

Range of

\frac{1}{4} x^{4} - 3 x^{3} + 4 x^{2} : f (x) \geq - 256

Axis interception points of

\frac{1}{4} x^{4} - 3 x^{3} + 4 x^{2} :

X Intercepts

: (0, 0), (2 (3 + 5), 0), (2 (3 - 5), 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{1}{4} x^{4} - 3 x^{3} + 4 x^{2} :

None

Extreme Points of

\frac{1}{4} x^{4} - 3 x^{3} + 4 x^{2} :

Minimum

(0, 0),

Maximum

(1, \frac{5}{4}),

Minimum

(8, - 256)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)= 1/4 x^4-3x^3+4x^2 ?
The f(x)= 1/4 x^4-3x^3+4x^2 is