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Popular >

y=(x^2-1)^3

Solution

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

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(- 1, 0),

Minimum

(0, - 1),

Saddle

(1, 0)

Popular Examples

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f (θ) = \frac{cos ( θ )}{1 + sin ( θ )}

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f (t) = t^{2} sin (2 t)

f(x)=400x^{10}+40x^5+1

f (x) = 400 x^{10} + 40 x^{5} + 1

y = ∣ x + 2 ∣ + 3

Frequently Asked Questions (FAQ)

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