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Popular >

y=-8x^2+242x-1056

Solution

y = - 8 x^{2} + 242 x - 1056

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{6193}{8}

X Intercepts : (\frac{121 - 6193}{8}, 0), (\frac{121 + 6193}{8}, 0), Y Intercepts : (0, - 1056)

Vertex : Maximum (\frac{121}{8}, \frac{6193}{8})

Inverse : - \frac{- 121 + - 8 x + 6193}{8}, \frac{- 8 x + 6193 + 121}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{6193}{8}]

Solution steps

Domain of

- 8 x^{2} + 242 x - 1056 : - \infty < x < \infty

Range of

- 8 x^{2} + 242 x - 1056 : f (x) \leq \frac{6193}{8}

Axis interception points of

- 8 x^{2} + 242 x - 1056 :

X Intercepts

: (\frac{121 - 6193}{8}, 0), (\frac{121 + 6193}{8}, 0),

Y Intercepts

: (0, - 1056)

Vertex of

- 8 x^{2} + 242 x - 1056 :

Maximum

(\frac{121}{8}, \frac{6193}{8})

Inverse of

- 8 x^{2} + 242 x - 1056 : - \frac{- 121 + - 8 x + 6193}{8}, \frac{- 8 x + 6193 + 121}{8}

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