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Popular >

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

Solution

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

Solution

Domain : 4 \leq x \leq 6

Range : 1728 \leq f (y) \leq 32768

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (4, 1728), Maximum (6, 32768)

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Interval Notation

Domain : [4, 6]

Range : [1728, 32768]

Solution steps

Domain of

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

Range of

(x^{2} - 4)^{3}, 4 \leq x \leq 6 : 1728 \leq f (y) \leq 32768

Axis interception points of

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

None

Asymptotes of

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

None

Extreme Points of

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

Minimum

(4, 1728),

Maximum

(6, 32768)

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f (t) = e^{2} t

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Frequently Asked Questions (FAQ)

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