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Popular >

y=3x^4-16x^3+18x^2

Solution

y = 3 x^{4} - 16 x^{3} + 18 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 27

X Intercepts : (0, 0), (\frac{8 + 10}{3}, 0), (\frac{8 - 10}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (1, 5), Minimum (3, - 27)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 27, \infty)

Solution steps

Domain of

3 x^{4} - 16 x^{3} + 18 x^{2} : - \infty < x < \infty

Range of

3 x^{4} - 16 x^{3} + 18 x^{2} : f (x) \geq - 27

Axis interception points of

3 x^{4} - 16 x^{3} + 18 x^{2} :

X Intercepts

: (0, 0), (\frac{8 + 10}{3}, 0), (\frac{8 - 10}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 x^{4} - 16 x^{3} + 18 x^{2} :

None

Extreme Points of

3 x^{4} - 16 x^{3} + 18 x^{2} :

Minimum

(0, 0),

Maximum

(1, 5),

Minimum

(3, - 27)

Popular Examples

f(x)=3x^6-x^5-18x^4+6x^3

f (x) = 3 x^{6} - x^{5} - 18 x^{4} + 6 x^{3}

y=(x^3)/3-2x^2-12x

y = \frac{x ^{3}}{3} - 2 x^{2} - 12 x

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

f(θ)=2+sin(θ)

f (θ) = 2 + sin (θ)

h(t)=-5t^2+30t+10

h (t) = - 5 t^{2} + 30 t + 10

Frequently Asked Questions (FAQ)

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