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Popular >

f(t)=-2t^2+3t-6

Solution

f (t) = - 2 t^{2} + 3 t - 6

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq - \frac{39}{8}

Y Intercepts : (0, - 6)

Vertex : Maximum (\frac{3}{4}, - \frac{39}{8})

Inverse : - \frac{- 3 + - 8 t - 39}{4}, - \frac{- 3 - - 8 t - 39}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, - \frac{39}{8}]

Solution steps

Domain of

- 2 t^{2} + 3 t - 6 : - \infty < t < \infty

Range of

- 2 t^{2} + 3 t - 6 : f (t) \leq - \frac{39}{8}

Axis interception points of

- 2 t^{2} + 3 t - 6 :

Y Intercepts

: (0, - 6)

Vertex of

- 2 t^{2} + 3 t - 6 :

Maximum

(\frac{3}{4}, - \frac{39}{8})

Inverse of

- 2 t^{2} + 3 t - 6 : - \frac{- 3 + - 8 t - 39}{4}, - \frac{- 3 - - 8 t - 39}{4}

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Frequently Asked Questions (FAQ)

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