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Popular >

y=x^4-2x^3-3x^2+4x+4

Solution

y = x^{4} - 2 x^{3} - 3 x^{2} + 4 x + 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

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

Asymptotes : None

Extreme Points : Minimum (- 1, 0), Maximum (\frac{1}{2}, \frac{81}{16}), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

x^{4} - 2 x^{3} - 3 x^{2} + 4 x + 4 : f (x) \geq 0

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 4)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 1, 0),

Maximum

(\frac{1}{2}, \frac{81}{16}),

Minimum

(2, 0)

Popular Examples

f (X) = 2^{X}

y=x^2sqrt(1-x^2)

y = x^{2} 1 - x^{2}

f(x)=((x^4)/(x+1))^{1/3}

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

f (x) = ∣ x - 3 ∣ - 5

f (x) = ∣ x ∣ + 3 x + 1

Frequently Asked Questions (FAQ)

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