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Popular >

f(t)=-4.9t^2+4t+10

Solution

f (t) = - 4.9 t^{2} + 4 t + 10

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq 10.81632 \dots

X Intercepts : (- \frac{10 ( 53 - 2 )}{49}, 0), (\frac{10 ( 2 + 53 )}{49}, 0), Y Intercepts : (0, 10)

Vertex : Maximum (0.40816 \dots, 10.81632 \dots)

Inverse : - \frac{- 40 + - 1960 t + 21200}{98}, - \frac{- 40 - - 1960 t + 21200}{98}

+1

Solution steps

Domain of

- 4.9 t^{2} + 4 t + 10 : - \infty < t < \infty

Range of

- 4.9 t^{2} + 4 t + 10 : f (t) \leq 10.81632 \dots

Axis interception points of

- 4.9 t^{2} + 4 t + 10 :

X Intercepts

: (- \frac{10 ( 53 - 2 )}{49}, 0), (\frac{10 ( 2 + 53 )}{49}, 0),

Y Intercepts

: (0, 10)

Vertex of

- 4.9 t^{2} + 4 t + 10 :

Maximum

(0.40816 \dots, 10.81632 \dots)

Inverse of

- 4.9 t^{2} + 4 t + 10 : - \frac{- 40 + - 1960 t + 21200}{98}, - \frac{- 40 - - 1960 t + 21200}{98}

Popular Examples

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f (x) = 6 x - 12

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f(x)=x^4+3x^3+5x^2+3x+4

f (x) = x^{4} + 3 x^{3} + 5 x^{2} + 3 x + 4

Frequently Asked Questions (FAQ)

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