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Popular >

y=x^{2/3}(6-x)^{1/3}

Solution

y = x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (6, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (4, 2 \cdot 2^{\frac{2}{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} : - \infty < x < \infty

Range of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} : - \infty < f (x) < \infty

Axis interception points of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} :

X Intercepts

: (0, 0), (6, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} :

None

Extreme Points of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} :

Minimum

(0, 0),

Maximum

(4, 2 \cdot 2^{\frac{2}{3}})

Popular Examples

y=(x^2+x)/(x^2-1)

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

f (x) = x^{2} + 7 x + 30

f (X) = cos (X)

f (a) = \frac{a}{6}

f(x)=2x^2-16x+33

f (x) = 2 x^{2} - 16 x + 33

Frequently Asked Questions (FAQ)

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