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Popular >

y= 2/3 x^{3/2},0<= x<= 6

Solution

y = \frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 6

Solution

Domain : 0 \leq x \leq 6

Range : 0 \leq f (x) \leq 4 \cdot 6^{\frac{1}{2}}

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

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (6, 4 \cdot 6^{\frac{1}{2}})

+1

Interval Notation

Domain : [0, 6]

Range : [0, 4 6^{\frac{1}{2}}]

Solution steps

Domain of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 6 : 0 \leq x \leq 6

Range of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 6 : 0 \leq f (x) \leq 4 \cdot 6^{\frac{1}{2}}

Axis interception points of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 6 :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 6 :

None

Extreme Points of

\frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 6 :

Minimum

(0, 0),

Maximum

(6, 4 \cdot 6^{\frac{1}{2}})

Popular Examples

f (c) = 8 c

f(x)=3x-3+4-x^2-11-x-2

f (x) = 3 x - 3 + 4 - x^{2} - 11 - x - 2

f(x)=| 1/2 x^2-2x|

f (x) = \frac{1}{2} x^{2} - 2 x

y = 2 sin (x + \frac{π}{4})

y=x^3,0<= x<= 1

y = x^{3}, 0 \leq x \leq 1

Frequently Asked Questions (FAQ)

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