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Popular >

f(x)=(x^2-5)^3

Solution

f (x) = (x^{2} - 5)^{3}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 125

X Intercepts : (5, 0), (- 5, 0), Y Intercepts : (0, - 125)

Asymptotes : None

Extreme Points : Saddle (- 5, 0), Minimum (0, - 125), Saddle (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 125, \infty)

Solution steps

Domain of

(x^{2} - 5)^{3} : - \infty < x < \infty

Range of

(x^{2} - 5)^{3} : f (x) \geq - 125

Axis interception points of

(x^{2} - 5)^{3} :

X Intercepts

: (5, 0), (- 5, 0),

Y Intercepts

: (0, - 125)

Asymptotes of

(x^{2} - 5)^{3} :

None

Extreme Points of

(x^{2} - 5)^{3} :

Saddle

(- 5, 0),

Minimum

(0, - 125),

Saddle

(5, 0)

Popular Examples

f (x) = - 6^{- x}

y=sqrt(x^2-6x+8)

y = x^{2} - 6 x + 8

f(x)=x^3-2x^2-15x+36

f (x) = x^{3} - 2 x^{2} - 15 x + 36

y = - 2 x^{2} - 2 x

f(x)=2x^2-5x+12

f (x) = 2 x^{2} - 5 x + 12

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-5)^3 ?
The f(x)=(x^2-5)^3 is