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Popular >

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

Solution

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

Solution

Domain : 2 \leq x \leq 3

Range : 0 \leq f (x) \leq 125

X Intercepts : (2, 0)

Asymptotes : None

Extreme Points : Minimum (2, 0), Maximum (3, 125)

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Interval Notation

Domain : [2, 3]

Range : [0, 125]

Solution steps

Domain of

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

Range of

(x^{2} - 4)^{3}, 2 \leq x \leq 3 : 0 \leq f (x) \leq 125

Axis interception points of

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

X Intercepts

: (2, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(2, 0),

Maximum

(3, 125)

Popular Examples

f (x) = - x^{2} - 6 x - 9

y = \frac{3}{4} x^{2}

f (x) = 4 x^{2} - 4 x + 1

y = 2 (\frac{1}{3})^{x}

y=x^4-4x^3+3x^2-3

y = x^{4} - 4 x^{3} + 3 x^{2} - 3

Frequently Asked Questions (FAQ)

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