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Popular Functions >

f(s)=0.005s^2+0.06s+0.1001

Solution

f (s) = 0.005 s^{2} + 0.06 s + 0.1001

Solution

Domain : - \infty < s < \infty

Range : f (s) \geq - 0.0799

X Intercepts : (\frac{- 0.06 + 0.001598}{0.01}, 0), (\frac{- 0.06 - 0.001598}{0.01}, 0), Y Intercepts : (0, 0.1001)

Vertex : Minimum (- 6, - 0.0799)

Inverse : \frac{- 0.06 + 0.02 s + 0.001598}{0.01}, \frac{- 0.06 - 0.02 s + 0.001598}{0.01}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 0.0799, \infty)

Solution steps

Domain of

0.005 s^{2} + 0.06 s + 0.1001 : - \infty < s < \infty

Range of

0.005 s^{2} + 0.06 s + 0.1001 : f (s) \geq - 0.0799

Axis interception points of

0.005 s^{2} + 0.06 s + 0.1001 :

X Intercepts

: (\frac{- 0.06 + 0.001598}{0.01}, 0), (\frac{- 0.06 - 0.001598}{0.01}, 0),

Y Intercepts

: (0, 0.1001)

Vertex of

0.005 s^{2} + 0.06 s + 0.1001 :

Minimum

(- 6, - 0.0799)

Inverse of

0.005 s^{2} + 0.06 s + 0.1001 : \frac{- 0.06 + 0.02 s + 0.001598}{0.01}, \frac{- 0.06 - 0.02 s + 0.001598}{0.01}

Graph

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