What is the f(x)= 1/3 x^{3/2}-sqrt(x),3<= x<= 7 ?

The f(x)= 1/3 x^{3/2}-sqrt(x),3<= x<= 7 is

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f(x)= 1/3 x^{3/2}-sqrt(x),3<= x<= 7

f (x) = \frac{1}{3} x^{\frac{3}{2}} - x, 3 \leq x \leq 7

Domain : 3 \leq x \leq 7

Range : 3^{\frac{1}{2}} - 3 \leq f (x) \leq \frac{7 \cdot 7 ^{\frac{1}{2}}}{3} - 7

X Intercepts : (3, 0)

Asymptotes : None

Extreme Points : Minimum (3, 3^{\frac{1}{2}} - 3), Maximum (7, \frac{7 \cdot 7 ^{\frac{1}{2}}}{3} - 7)

Interval Notation

Domain : [3, 7]

Range : [3^{\frac{1}{2}} - 3, \frac{7 7 ^{\frac{1}{2}}}{3} - 7]

Solution steps

Domain of

\frac{1}{3} x^{\frac{3}{2}} - x, 3 \leq x \leq 7 : 3 \leq x \leq 7

Range of

\frac{1}{3} x^{\frac{3}{2}} - x, 3 \leq x \leq 7 : 3^{\frac{1}{2}} - 3 \leq f (x) \leq \frac{7 \cdot 7 ^{\frac{1}{2}}}{3} - 7

Axis interception points of

\frac{1}{3} x^{\frac{3}{2}} - x, 3 \leq x \leq 7 :

X Intercepts

: (3, 0)

Asymptotes of

\frac{1}{3} x^{\frac{3}{2}} - x, 3 \leq x \leq 7 :

None

Extreme Points of

\frac{1}{3} x^{\frac{3}{2}} - x, 3 \leq x \leq 7 :

Minimum

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

Maximum

(7, \frac{7 \cdot 7 ^{\frac{1}{2}}}{3} - 7)

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f (x) = \frac{5 x ^{3} - 8}{4}

f (x) = \frac{- 2}{5}

f (x) = 2 x^{2} - 7 x + 6

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

What is the f(x)= 1/3 x^{3/2}-sqrt(x),3<= x<= 7 ?
The f(x)= 1/3 x^{3/2}-sqrt(x),3<= x<= 7 is