What is the f(x)=3x^{2/3}-2x ?

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

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

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{27}{8}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (1, 1)

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

3 x^{\frac{2}{3}} - 2 x : - \infty < x < \infty

Range of

3 x^{\frac{2}{3}} - 2 x : - \infty < f (x) < \infty

Axis interception points of

3 x^{\frac{2}{3}} - 2 x :

X Intercepts

: (0, 0), (\frac{27}{8}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 x^{\frac{2}{3}} - 2 x :

None

Extreme Points of

3 x^{\frac{2}{3}} - 2 x :

Minimum

(1, 1)

x \to 0 - lim (- \frac{1}{x})

n = 1 \sum \infty \frac{5 n}{6 n + 5}

y = arccot (7 t)

\frac{d}{d x} (\frac{x}{x - y})

\frac{d}{d x} (- \frac{81}{x ^{4}})