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Popular >

f(x)=4xsqrt(36-x^2)

Solution

f (x) = 4 x 36 - x^{2}

Solution

Domain : - 6 \leq x \leq 6

Range : - 72 \leq f (x) \leq 72

X Intercepts : (0, 0), (6, 0), (- 6, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 6, 0), Minimum (- 32, - 72), Maximum (32, 72), Minimum (6, 0)

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Interval Notation

Domain : [- 6, 6]

Range : [- 72, 72]

Solution steps

Domain of

4 x 36 - x^{2} : - 6 \leq x \leq 6

Range of

4 x 36 - x^{2} : - 72 \leq f (x) \leq 72

Axis interception points of

4 x 36 - x^{2} :

X Intercepts

: (0, 0), (6, 0), (- 6, 0),

Y Intercepts

: (0, 0)

Asymptotes of

4 x 36 - x^{2} :

None

Extreme Points of

4 x 36 - x^{2} :

Maximum

(- 6, 0),

Minimum

(- 32, - 72),

Maximum

(32, 72),

Minimum

(6, 0)

Popular Examples

f(x)=(2)^{(x+2)}

f (x) = (2)^{(x + 2)}

f(x)=x^3+2x^2-3x-6

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

y = \frac{1}{2} x - \frac{3}{4}

f (x) = - 4 x^{2} - 8 x

f(x)=cos(2x)+cos(4x)+cos(6x)

f (x) = cos (2 x) + cos (4 x) + cos (6 x)

Frequently Asked Questions (FAQ)

What is the f(x)=4xsqrt(36-x^2) ?
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