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Popular >

y=-1/12 x^2-4/3 x-5/2

Solution

y = - \frac{1}{12} x^{2} - \frac{4}{3} x - \frac{5}{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{17}{6}

X Intercepts : (- 8 - 34, 0), (- 8 + 34, 0), Y Intercepts : (0, - \frac{5}{2})

Vertex : Maximum (- 8, \frac{17}{6})

Inverse : - \frac{16 + - 48 x + 136}{2}, - \frac{16 - - 48 x + 136}{2}

+1

Solution steps

Domain of

- \frac{1}{12} x^{2} - \frac{4}{3} x - \frac{5}{2} : - \infty < x < \infty

Range of

- \frac{1}{12} x^{2} - \frac{4}{3} x - \frac{5}{2} : f (x) \leq \frac{17}{6}

Axis interception points of

- \frac{1}{12} x^{2} - \frac{4}{3} x - \frac{5}{2} :

X Intercepts

: (- 8 - 34, 0), (- 8 + 34, 0),

Y Intercepts

: (0, - \frac{5}{2})

Vertex of

- \frac{1}{12} x^{2} - \frac{4}{3} x - \frac{5}{2} :

Maximum

(- 8, \frac{17}{6})

Inverse of

- \frac{1}{12} x^{2} - \frac{4}{3} x - \frac{5}{2} : - \frac{16 + - 48 x + 136}{2}, - \frac{16 - - 48 x + 136}{2}

Popular Examples

x = 2 \cdot y (y - 2)

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\frac{x}{y} = y

y \leq - x^{2} - 6

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