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Popular >

36y^2=(x^2-4)^3,2<= x<= 6,y>= 0

Solution

36 y^{2} = (x^{2} - 4)^{3}, 2 \leq x \leq 6, y \geq 0

Solution

Domain : 2 \leq x \leq 6

Range : 0 \leq f (y) \leq 32768

X Intercepts : (2, 0)

Asymptotes : None

Extreme Points : Minimum (2, 0), Maximum (6, 32768)

+1

Interval Notation

Domain : [2, 6]

Range : [0, 32768]

Solution steps

Domain of

(x^{2} - 4)^{3}, 2 \leq x \leq 6 : 2 \leq x \leq 6

Range of

(x^{2} - 4)^{3}, 2 \leq x \leq 6 : 0 \leq f (y) \leq 32768

Axis interception points of

(x^{2} - 4)^{3}, 2 \leq x \leq 6 :

X Intercepts

: (2, 0)

Asymptotes of

(x^{2} - 4)^{3}, 2 \leq x \leq 6 :

None

Extreme Points of

(x^{2} - 4)^{3}, 2 \leq x \leq 6 :

Minimum

(2, 0),

Maximum

(6, 32768)

Popular Examples

f(x)=sqrt((3-x)/(x^2-4))

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

y=x^3-3x^2-24x+6

y = x^{3} - 3 x^{2} - 24 x + 6

f(x)=6x^{2/3}-4x

f (x) = 6 x^{\frac{2}{3}} - 4 x

y=e^{-x^2}cos(x)

y = e^{- x^{2}} cos (x)

f(x)=tan(x/2)+cos(x)tan(x/2)

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

Frequently Asked Questions (FAQ)

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