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Popular >

y=|x^3-4x|

Solution

y = x^{3} - 4 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

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

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (- \frac{2}{3}, \frac{16}{3 3}), Minimum (0, 0), Maximum (\frac{2}{3}, \frac{16}{3 3}), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

x^{3} - 4 x : f (x) \geq 0

Axis interception points of

x^{3} - 4 x :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} - 4 x :

None

Extreme Points of

x^{3} - 4 x :

Minimum

(- 2, 0),

Maximum

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

Minimum

(0, 0),

Maximum

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

Minimum

(2, 0)

Popular Examples

simplify (75+y)*1/4 simplify

(75 + y) \cdot \frac{1}{4}

f(x)= 3/((2x+1))

f (x) = \frac{3}{( 2 x + 1 )}

f (x) = e^{3 x} - 1

f(x)=x^{2/3}+x^{1/3}-2

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

g(s)= 1/(((1+s)(1+2s)))

g (s) = \frac{1}{( ( 1 + s ) ( 1 + 2 s ) )}

Frequently Asked Questions (FAQ)

What is the y=|x^3-4x| ?
The y=|x^3-4x| is