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Popular >

y=(4x^3)/3-x

Solution

y = \frac{4 x ^{3}}{3} - x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- \frac{3}{2}, 0), (\frac{3}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{2}, \frac{1}{3}), Minimum (\frac{1}{2}, - \frac{1}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{4 x ^{3}}{3} - x :

X Intercepts

: (0, 0), (- \frac{3}{2}, 0), (\frac{3}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{4 x ^{3}}{3} - x :

None

Extreme Points of

\frac{4 x ^{3}}{3} - x :

Maximum

(- \frac{1}{2}, \frac{1}{3}),

Minimum

(\frac{1}{2}, - \frac{1}{3})

Popular Examples

f(x)=x^9-x^5+x+10

f (x) = x^{9} - x^{5} + x + 10

f(x)=(-4)/(x-5)

f (x) = \frac{- 4}{x - 5}

f (x) = a (x + 1)^{2}

domain of f(x)=x-2+(x^2)/(sqrt(x^2-9))domain

f (x) = x - 2 + \frac{x ^{2}}{x ^{2} - 9}

y = \frac{1}{2} x^{2} + 2

Frequently Asked Questions (FAQ)

What is the y=(4x^3)/3-x ?
The y=(4x^3)/3-x is