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Popular >

f(t)=-4.9t^2+19.6t-14.6

Solution

f (t) = - 4.9 t^{2} + 19.6 t - 14.6

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq 5

X Intercepts : (\frac{14 - 5 2}{7}, 0), (\frac{14 + 5 2}{7}, 0), Y Intercepts : (0, - 14.6)

Vertex : Maximum (2, 5)

Inverse : - \frac{- 196 + - 1960 t + 9800}{98}, - \frac{- 196 - - 1960 t + 9800}{98}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

- 4.9 t^{2} + 19.6 t - 14.6 : - \infty < t < \infty

Range of

- 4.9 t^{2} + 19.6 t - 14.6 : f (t) \leq 5

Axis interception points of

- 4.9 t^{2} + 19.6 t - 14.6 :

X Intercepts

: (\frac{14 - 5 2}{7}, 0), (\frac{14 + 5 2}{7}, 0),

Y Intercepts

: (0, - 14.6)

Vertex of

- 4.9 t^{2} + 19.6 t - 14.6 :

Maximum

(2, 5)

Inverse of

- 4.9 t^{2} + 19.6 t - 14.6 : - \frac{- 196 + - 1960 t + 9800}{98}, - \frac{- 196 - - 1960 t + 9800}{98}

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Frequently Asked Questions (FAQ)

What is the f(t)=-4.9t^2+19.6t-14.6 ?
The f(t)=-4.9t^2+19.6t-14.6 is