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Popular >

y=(3x^6-2x^4)^4

Solution

y = (3 x^{6} - 2 x^{4})^{4}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (0, 0), (\frac{2}{3}, 0), (- \frac{2}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{2}{3}, 0), Maximum (- \frac{2}{3}, \frac{1048576}{24 3 ^{4}}), Minimum (0, 0), Maximum (\frac{2}{3}, \frac{1048576}{24 3 ^{4}}), Minimum (\frac{2}{3}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(3 x^{6} - 2 x^{4})^{4} : - \infty < x < \infty

Range of

(3 x^{6} - 2 x^{4})^{4} : f (x) \geq 0

Axis interception points of

(3 x^{6} - 2 x^{4})^{4} :

X Intercepts

: (0, 0), (\frac{2}{3}, 0), (- \frac{2}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(3 x^{6} - 2 x^{4})^{4} :

None

Extreme Points of

(3 x^{6} - 2 x^{4})^{4} :

Minimum

(- \frac{2}{3}, 0),

Maximum

(- \frac{2}{3}, \frac{1048576}{24 3 ^{4}}),

Minimum

(0, 0),

Maximum

(\frac{2}{3}, \frac{1048576}{24 3 ^{4}}),

Minimum

(\frac{2}{3}, 0)

Popular Examples

f(x)=x^3-9x^2+15x+3

f (x) = x^{3} - 9 x^{2} + 15 x + 3

f (x) = - 6 x + 2

y = 30 x + 20

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

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

f (s) = s^{2} + 3 s + 3

Frequently Asked Questions (FAQ)

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