What is the f(t)=5t^2+31t+100 ?

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f(t)=5t^2+31t+100

f (t) = 5 t^{2} + 31 t + 100

Domain : - \infty < t < \infty

Range : f (t) \geq \frac{1039}{20}

Y Intercepts : (0, 100)

Vertex : Minimum (- \frac{31}{10}, \frac{1039}{20})

Inverse : \frac{- 31 + 20 t - 1039}{10}, \frac{- 31 - 20 t - 1039}{10}

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{1039}{20}, \infty)

Solution steps

Domain of

5 t^{2} + 31 t + 100 : - \infty < t < \infty

Range of

5 t^{2} + 31 t + 100 : f (t) \geq \frac{1039}{20}

Axis interception points of

5 t^{2} + 31 t + 100 :

Y Intercepts

: (0, 100)

Vertex of

5 t^{2} + 31 t + 100 :

Minimum

(- \frac{31}{10}, \frac{1039}{20})

Inverse of

5 t^{2} + 31 t + 100 : \frac{- 31 + 20 t - 1039}{10}, \frac{- 31 - 20 t - 1039}{10}

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