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Popular >

f(x)=xsqrt(25-x^2)

Solution

f (x) = x 25 - x^{2}

Solution

Domain : - 5 \leq x \leq 5

Range : - \frac{25}{2} \leq f (x) \leq \frac{25}{2}

X Intercepts : (0, 0), (5, 0), (- 5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 5, 0), Minimum (- \frac{5}{2}, - \frac{25}{2}), Maximum (\frac{5}{2}, \frac{25}{2}), Minimum (5, 0)

+1

Interval Notation

Domain : [- 5, 5]

Range : [- \frac{25}{2}, \frac{25}{2}]

Solution steps

Domain of

x 25 - x^{2} : - 5 \leq x \leq 5

Range of

x 25 - x^{2} : - \frac{25}{2} \leq f (x) \leq \frac{25}{2}

Axis interception points of

x 25 - x^{2} :

X Intercepts

: (0, 0), (5, 0), (- 5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x 25 - x^{2} :

None

Extreme Points of

x 25 - x^{2} :

Maximum

(- 5, 0),

Minimum

(- \frac{5}{2}, - \frac{25}{2}),

Maximum

(\frac{5}{2}, \frac{25}{2}),

Minimum

(5, 0)

Popular Examples

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P (x) = x^{3} + 5 x^{2} + 11 x + 10

f (Q) = Q

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f(x)=((e^x+e^{-x}))/2

f (x) = \frac{( e ^{x} + e ^{- x} )}{2}

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

Frequently Asked Questions (FAQ)

What is the f(x)=xsqrt(25-x^2) ?
The f(x)=xsqrt(25-x^2) is