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Popular >

f(t)=-5t^2+20t+60

Solution

f (t) = - 5 t^{2} + 20 t + 60

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq 80

X Intercepts : (- 2, 0), (6, 0), Y Intercepts : (0, 60)

Vertex : Maximum (2, 80)

Inverse : - \frac{- 20 + - 20 t + 1600}{10}, - \frac{- 20 - - 20 t + 1600}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 80]

Solution steps

Domain of

- 5 t^{2} + 20 t + 60 : - \infty < t < \infty

Range of

- 5 t^{2} + 20 t + 60 : f (t) \leq 80

Axis interception points of

- 5 t^{2} + 20 t + 60 :

X Intercepts

: (- 2, 0), (6, 0),

Y Intercepts

: (0, 60)

Vertex of

- 5 t^{2} + 20 t + 60 :

Maximum

(2, 80)

Inverse of

- 5 t^{2} + 20 t + 60 : - \frac{- 20 + - 20 t + 1600}{10}, - \frac{- 20 - - 20 t + 1600}{10}

Popular Examples

f(x)=(-5x-5)/(3x^2+2x-1)

f (x) = \frac{- 5 x - 5}{3 x ^{2} + 2 x - 1}

f(x)=2(x-2)^2-1

f (x) = 2 (x - 2)^{2} - 1

f(x)=e^xcos(2x)

f (x) = e^{x} cos (2 x)

f(x)=2x^3+7x^2-5x-4

f (x) = 2 x^{3} + 7 x^{2} - 5 x - 4

f(x)=(2x^3-5)/(x^2+x-6)

f (x) = \frac{2 x ^{3} - 5}{x ^{2} + x - 6}

Frequently Asked Questions (FAQ)

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