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Popular Functions >

f(x)=-x^3+9x^2-5

Solution

f (x) = - x^{3} + 9 x^{2} - 5

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (- 0.71731 \dots, 0), (0.77991 \dots, 0), (8.93740 \dots, 0), Y Intercepts : (0, - 5)

Asymptotes : None

Extreme Points : Minimum (0, - 5), Maximum (6, 103)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

- x^{3} + 9 x^{2} - 5 : - \infty < x < \infty

Range of

- x^{3} + 9 x^{2} - 5 : - \infty < f (x) < \infty

Axis interception points of

- x^{3} + 9 x^{2} - 5 :

X Intercepts

: (- 0.71731 \dots, 0), (0.77991 \dots, 0), (8.93740 \dots, 0),

Y Intercepts

: (0, - 5)

Asymptotes of

- x^{3} + 9 x^{2} - 5 :

None

Extreme Points of

- x^{3} + 9 x^{2} - 5 :

Minimum

(0, - 5),

Maximum

(6, 103)

Graph

Popular Examples

f(x)=(x^2-3)/(x+sqrt(3))

f(x)=(-6x^3+8x^2)/(4x-9)

f(t)=e^{-4t}cos(3t)+t^2sin(3t)

y=6+3x-4x(7x+1)^5

f(y)=sqrt(y+10)-10

Frequently Asked Questions (FAQ)

What is the f(x)=-x^3+9x^2-5 ?
The f(x)=-x^3+9x^2-5 is