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Popular >

y=3x^4-4x^3

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (0, 0), (\frac{4}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Saddle (0, 0), Minimum (1, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

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

Range of

3 x^{4} - 4 x^{3} : f (x) \geq - 1

Axis interception points of

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

X Intercepts

: (0, 0), (\frac{4}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(0, 0),

Minimum

(1, - 1)

Popular Examples

f(x)=(x-1)(x+2)

f (x) = (x - 1) (x + 2)

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

f(x)=x^4-2x^3-3x^2

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

f(x)=12cosh(6x)sinh(6x)+6sinh(12x)

f (x) = 12 cosh (6 x) sinh (6 x) + 6 sinh (12 x)

f(x)=\sqrt[4]{3x-21}

Frequently Asked Questions (FAQ)

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