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Popular >

f(x)= 1/3 sqrt(x)(x-3)

Solution

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

Solution

Domain : x \geq 0

Range : f (x) \geq - \frac{2}{3}

X Intercepts : (0, 0), (3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (0, 0), Minimum (1, - \frac{2}{3})

+1

Interval Notation

Domain : [0, \infty)

Range : [- \frac{2}{3}, \infty)

Solution steps

Domain of

\frac{1}{3} x (x - 3) : x \geq 0

Range of

\frac{1}{3} x (x - 3) : f (x) \geq - \frac{2}{3}

Axis interception points of

\frac{1}{3} x (x - 3) :

X Intercepts

: (0, 0), (3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{1}{3} x (x - 3) :

None

Extreme Points of

\frac{1}{3} x (x - 3) :

Maximum

(0, 0),

Minimum

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

Popular Examples

U(x)=-0.5x^2+20x-100

U (x) = - 0.5 x^{2} + 20 x - 100

f (x) = 2^{x - 3} - 5

f(x)= x/(x^2+36)

f (x) = \frac{x}{x ^{2} + 36}

f(x)=log_{2}(2/3 x-4)

f (x) = lo g_{2} (\frac{2}{3} x - 4)

f(x)= 2/(x+sqrt(x))

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

Frequently Asked Questions (FAQ)

What is the f(x)= 1/3 sqrt(x)(x-3) ?
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