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Popular >

f(x)=x^2+8x+11

Solution

f (x) = x^{2} + 8 x + 11

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 5

X Intercepts : (- 4 + 5, 0), (- 4 - 5, 0), Y Intercepts : (0, 11)

Vertex : Minimum (- 4, - 5)

Inverse : - 4 + x + 5, - x + 5 - 4

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, \infty)

Solution steps

Domain of

x^{2} + 8 x + 11 : - \infty < x < \infty

Range of

x^{2} + 8 x + 11 : f (x) \geq - 5

Axis interception points of

x^{2} + 8 x + 11 :

X Intercepts

: (- 4 + 5, 0), (- 4 - 5, 0),

Y Intercepts

: (0, 11)

Vertex of

x^{2} + 8 x + 11 :

Minimum

(- 4, - 5)

Inverse of

x^{2} + 8 x + 11 : - 4 + x + 5, - x + 5 - 4

Popular Examples

f (x) = x - 5

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f (x) = - 16 x^{2}

f (x) = 2 x^{2} - 3 x - 5

f (x) = \frac{x}{x - 7}

Frequently Asked Questions (FAQ)

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