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Popular >

y=xsqrt(49-x^2)

Solution

y = x 49 - x^{2}

Solution

Domain : - 7 \leq x \leq 7

Range : - \frac{49}{2} \leq f (x) \leq \frac{49}{2}

X Intercepts : (0, 0), (7, 0), (- 7, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 7, 0), Minimum (- \frac{7}{2}, - \frac{49}{2}), Maximum (\frac{7}{2}, \frac{49}{2}), Minimum (7, 0)

+1

Interval Notation

Domain : [- 7, 7]

Range : [- \frac{49}{2}, \frac{49}{2}]

Solution steps

Domain of

x 49 - x^{2} : - 7 \leq x \leq 7

Range of

x 49 - x^{2} : - \frac{49}{2} \leq f (x) \leq \frac{49}{2}

Axis interception points of

x 49 - x^{2} :

X Intercepts

: (0, 0), (7, 0), (- 7, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x 49 - x^{2} :

None

Extreme Points of

x 49 - x^{2} :

Maximum

(- 7, 0),

Minimum

(- \frac{7}{2}, - \frac{49}{2}),

Maximum

(\frac{7}{2}, \frac{49}{2}),

Minimum

(7, 0)

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Frequently Asked Questions (FAQ)

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