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Popular >

h(t)=-27/10 t^2+27t+6

Solution

h (t) = - \frac{27}{10} t^{2} + 27 t + 6

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq \frac{147}{2}

X Intercepts : (- \frac{- 15 + 7 5}{3}, 0), (\frac{15 + 7 5}{3}, 0), Y Intercepts : (0, 6)

Vertex : Maximum (5, \frac{147}{2})

Inverse : - \frac{- 270 + - 1080 t + 79380}{54}, - \frac{- 270 - - 1080 t + 79380}{54}

+1

Solution steps

Domain of

- \frac{27}{10} t^{2} + 27 t + 6 : - \infty < t < \infty

Range of

- \frac{27}{10} t^{2} + 27 t + 6 : f (t) \leq \frac{147}{2}

Axis interception points of

- \frac{27}{10} t^{2} + 27 t + 6 :

X Intercepts

: (- \frac{- 15 + 7 5}{3}, 0), (\frac{15 + 7 5}{3}, 0),

Y Intercepts

: (0, 6)

Vertex of

- \frac{27}{10} t^{2} + 27 t + 6 :

Maximum

(5, \frac{147}{2})

Inverse of

- \frac{27}{10} t^{2} + 27 t + 6 : - \frac{- 270 + - 1080 t + 79380}{54}, - \frac{- 270 - - 1080 t + 79380}{54}

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Frequently Asked Questions (FAQ)

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