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Popular Functions >

y=-x^3+4x

Solution

y = - x^{3} + 4 x

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Minimum (- \frac{2}{3}, - \frac{16}{3 3}), Maximum (\frac{2}{3}, \frac{16}{3 3})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

- x^{3} + 4 x : - \infty < f (x) < \infty

Axis interception points of

- x^{3} + 4 x :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

- x^{3} + 4 x :

None

Extreme Points of

- x^{3} + 4 x :

Minimum

(- \frac{2}{3}, - \frac{16}{3 3}),

Maximum

(\frac{2}{3}, \frac{16}{3 3})

Graph

Popular Examples

f(x)=x^3-3x^2+6x-2

f(A)=0.006A^2-0.02A+120

y=sqrt(sin(2x))

y=-0.05x^2+300x+2000

f(x)={2x+4:x>0,4-2x:x<0}

Frequently Asked Questions (FAQ)

What is the y=-x^3+4x ?
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