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Popular Functions >

y= 2/3 x^{3/2},0<= x<= 4

Solution

y = \frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 4

Solution

Domain : 0 \leq x \leq 4

Range : 0 \leq f (x) \leq \frac{16}{3}

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

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (4, \frac{16}{3})

+1

Interval Notation

Domain : [0, 4]

Range : [0, \frac{16}{3}]

Solution steps

Domain of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 4 : 0 \leq x \leq 4

Range of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 4 : 0 \leq f (x) \leq \frac{16}{3}

Axis interception points of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 4 :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 4 :

None

Extreme Points of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 4 :

Minimum

(0, 0),

Maximum

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

Graph

Popular Examples

f(x)=sqrt(x^2+6x+2)

Frequently Asked Questions (FAQ)

What is the y= 2/3 x^{3/2},0<= x<= 4 ?
The y= 2/3 x^{3/2},0<= x<= 4 is