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Popular >

f(s)=s^2+4s+1

Solution

f (s) = s^{2} + 4 s + 1

Solution

Domain : - \infty < s < \infty

Range : f (s) \geq - 3

X Intercepts : (- 2 + 3, 0), (- 2 - 3, 0), Y Intercepts : (0, 1)

Vertex : Minimum (- 2, - 3)

Inverse : - 2 + s + 3, - s + 3 - 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

s^{2} + 4 s + 1 : - \infty < s < \infty

Range of

s^{2} + 4 s + 1 : f (s) \geq - 3

Axis interception points of

s^{2} + 4 s + 1 :

X Intercepts

: (- 2 + 3, 0), (- 2 - 3, 0),

Y Intercepts

: (0, 1)

Vertex of

s^{2} + 4 s + 1 :

Minimum

(- 2, - 3)

Inverse of

s^{2} + 4 s + 1 : - 2 + s + 3, - s + 3 - 2

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