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Popular >

f(x)=-x^4+x^3+8x^2-12x

Solution

f (x) = - x^{4} + x^{3} + 8 x^{2} - 12 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 32

X Intercepts : (0, 0), (2, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 2, 32), Minimum (\frac{3}{4}, - \frac{1125}{256}), Maximum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 32]

Solution steps

Domain of

- x^{4} + x^{3} + 8 x^{2} - 12 x : - \infty < x < \infty

Range of

- x^{4} + x^{3} + 8 x^{2} - 12 x : f (x) \leq 32

Axis interception points of

- x^{4} + x^{3} + 8 x^{2} - 12 x :

X Intercepts

: (0, 0), (2, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- x^{4} + x^{3} + 8 x^{2} - 12 x :

None

Extreme Points of

- x^{4} + x^{3} + 8 x^{2} - 12 x :

Maximum

(- 2, 32),

Minimum

(\frac{3}{4}, - \frac{1125}{256}),

Maximum

(2, 0)

Popular Examples

f (p) = 2 p^{2}

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

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

f(x)=x^4-5x^3-20x+16

f (x) = x^{4} - 5 x^{3} - 20 x + 16

f(x)=(3x-5)/(x^2-1)

f (x) = \frac{3 x - 5}{x ^{2} - 1}

y = \frac{9}{5} x + 32

Frequently Asked Questions (FAQ)

What is the f(x)=-x^4+x^3+8x^2-12x ?
The f(x)=-x^4+x^3+8x^2-12x is