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Popular >

h(t)=-5t^2+90t+1

Solution

h (t) = - 5 t^{2} + 90 t + 1

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq 406

X Intercepts : (- \frac{- 45 + 2030}{5}, 0), (\frac{45 + 2030}{5}, 0), Y Intercepts : (0, 1)

Vertex : Maximum (9, 406)

Inverse : - \frac{- 90 + - 20 t + 8120}{10}, - \frac{- 90 - - 20 t + 8120}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 406]

Solution steps

Domain of

- 5 t^{2} + 90 t + 1 : - \infty < t < \infty

Range of

- 5 t^{2} + 90 t + 1 : f (t) \leq 406

Axis interception points of

- 5 t^{2} + 90 t + 1 :

X Intercepts

: (- \frac{- 45 + 2030}{5}, 0), (\frac{45 + 2030}{5}, 0),

Y Intercepts

: (0, 1)

Vertex of

- 5 t^{2} + 90 t + 1 :

Maximum

(9, 406)

Inverse of

- 5 t^{2} + 90 t + 1 : - \frac{- 90 + - 20 t + 8120}{10}, - \frac{- 90 - - 20 t + 8120}{10}

Popular Examples

f(x)=-x^2+10x-17

f (x) = - x^{2} + 10 x - 17

f(x)=-x^2+10x-29

f (x) = - x^{2} + 10 x - 29

f(x)=-x^2+10x-24

f (x) = - x^{2} + 10 x - 24

y = 2 csc (3 x)

y=(x+1)/(sqrt(x))

y = \frac{x + 1}{x}

Frequently Asked Questions (FAQ)

What is the h(t)=-5t^2+90t+1 ?
The h(t)=-5t^2+90t+1 is