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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

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

Vertex : Minimum (- 2, - 3)

Inverse : - 2 + x + 3, - x + 3 - 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} + 4 x + 1 :

X Intercepts

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

Y Intercepts

: (0, 1)

Vertex of

x^{2} + 4 x + 1 :

Minimum

(- 2, - 3)

Inverse of

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

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=x^2+4x+1 ?
The f(x)=x^2+4x+1 is