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Popular >

y=(x^2+2)^3(1-x^3)^4

Solution

y = (x^{2} + 2)^{3} (1 - x^{3})^{4}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (1, 0), Y Intercepts : (0, 8)

Asymptotes : None

Extreme Points : Minimum (0, 8), Maximum (0.23967 \dots, 8.23949 \dots), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

(x^{2} + 2)^{3} (1 - x^{3})^{4} : f (x) \geq 0

Axis interception points of

(x^{2} + 2)^{3} (1 - x^{3})^{4} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, 8)

Asymptotes of

(x^{2} + 2)^{3} (1 - x^{3})^{4} :

None

Extreme Points of

(x^{2} + 2)^{3} (1 - x^{3})^{4} :

Minimum

(0, 8),

Maximum

(0.23967 \dots, 8.23949 \dots),

Minimum

(1, 0)

Popular Examples

f(n)=(ln(n))/(n^2)

f (n) = \frac{ln ( n )}{n ^{2}}

f(x)=(sin(x))^4

f (x) = (sin (x))^{4}

f (r) = \frac{1}{r ^{2}}

f (x) = \frac{x}{2 x - 1}

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

Frequently Asked Questions (FAQ)

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