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Popular >

p(x)=(x^3+3x)^2-(3x^2+1)^2

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(- 1, 0),

Minimum

(0, - 1),

Saddle

(1, 0)

Popular Examples

y=arcsin(1/(x^2))

y = arcsin (\frac{1}{x ^{2}})

y=2cos(3x+pi)-1

y = 2 cos (3 x + π) - 1

f(x)=x^3-10x^2+57x-82

f (x) = x^{3} - 10 x^{2} + 57 x - 82

f(x)=-log_{3}(x+3)

f (x) = - lo g_{3} (x + 3)

f(a)=3a^3+8a^2-8a-12

f (a) = 3 a^{3} + 8 a^{2} - 8 a - 12

Frequently Asked Questions (FAQ)

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